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Finding the Fourth Proportional to 1,294,461,795.83, 1,941,728,870.97 and 421,063,168.32

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Solution

The fourth proportional to 1,294,461,795.83, 1,941,728,870.97 and 421,063,168.32 is: 631,606,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,461,795.83 : 1,941,728,870.97 = 421,063,168.32 : x
  2. Step 2: Convert to fraction form
    1,294,461,795.83/1,941,728,870.97 = 421,063,168.32/x
  3. Step 3: Cross multiply
    1,294,461,795.83x = 1,941,728,870.97 × 421,063,168.32
  4. Step 4: Simplify right side
    1,294,461,795.83x = 817,590,510,429,044,608
  5. Step 5: Solve for x
    x = 817,590,510,429,044,608/1,294,461,795.83
  6. Step 6: Final answer
    x = 631,606,520.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.