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Finding the Fourth Proportional to 421,950,539.60, 632,925,809.40 and 284,201,032.40

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Solution

The fourth proportional to 421,950,539.60, 632,925,809.40 and 284,201,032.40 is: 426,301,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,950,539.60 : 632,925,809.40 = 284,201,032.40 : x
  2. Step 2: Convert to fraction form
    421,950,539.60/632,925,809.40 = 284,201,032.40/x
  3. Step 3: Cross multiply
    421,950,539.60x = 632,925,809.40 × 284,201,032.40
  4. Step 4: Simplify right side
    421,950,539.60x = 179,878,168,464,085,600
  5. Step 5: Solve for x
    x = 179,878,168,464,085,600/421,950,539.60
  6. Step 6: Final answer
    x = 426,301,548.60

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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.