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Finding the Fourth Proportional to 287,712,846.40, 431,569,269.60 and 261,353,372.80

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Solution

The fourth proportional to 287,712,846.40, 431,569,269.60 and 261,353,372.80 is: 392,030,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712,846.40 : 431,569,269.60 = 261,353,372.80 : x
  2. Step 2: Convert to fraction form
    287,712,846.40/431,569,269.60 = 261,353,372.80/x
  3. Step 3: Cross multiply
    287,712,846.40x = 431,569,269.60 × 261,353,372.80
  4. Step 4: Simplify right side
    287,712,846.40x = 112,792,084,206,792,512
  5. Step 5: Solve for x
    x = 112,792,084,206,792,512/287,712,846.40
  6. Step 6: Final answer
    x = 392,030,059.20

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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.