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Finding the Fourth Proportional to 421,703.30, 631,570.80 and 413,246.90

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Solution

The fourth proportional to 421,703.30, 631,570.80 and 413,246.90 is: 618,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,703.30 : 631,570.80 = 413,246.90 : x
  2. Step 2: Convert to fraction form
    421,703.30/631,570.80 = 413,246.90/x
  3. Step 3: Cross multiply
    421,703.30x = 631,570.80 × 413,246.90
  4. Step 4: Simplify right side
    421,703.30x = 260,994,675,230.52
  5. Step 5: Solve for x
    x = 260,994,675,230.52/421,703.30
  6. Step 6: Final answer
    x = 618,905.94

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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.