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Finding the Fourth Proportional to 686,255,406.57, 947,042,052 and 372,989,526.57

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Solution

The fourth proportional to 686,255,406.57, 947,042,052 and 372,989,526.57 is: 514,730,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,255,406.57 : 947,042,052 = 372,989,526.57 : x
  2. Step 2: Convert to fraction form
    686,255,406.57/947,042,052 = 372,989,526.57/x
  3. Step 3: Cross multiply
    686,255,406.57x = 947,042,052 × 372,989,526.57
  4. Step 4: Simplify right side
    686,255,406.57x = 353,236,766,617,361,344
  5. Step 5: Solve for x
    x = 353,236,766,617,361,344/686,255,406.57
  6. Step 6: Final answer
    x = 514,730,759.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.