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Finding the Fourth Proportional to 862,748,337.20, 1,294,122,505.80 and 402,733,007.60

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Solution

The fourth proportional to 862,748,337.20, 1,294,122,505.80 and 402,733,007.60 is: 604,099,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,748,337.20 : 1,294,122,505.80 = 402,733,007.60 : x
  2. Step 2: Convert to fraction form
    862,748,337.20/1,294,122,505.80 = 402,733,007.60/x
  3. Step 3: Cross multiply
    862,748,337.20x = 1,294,122,505.80 × 402,733,007.60
  4. Step 4: Simplify right side
    862,748,337.20x = 521,185,848,963,682,432
  5. Step 5: Solve for x
    x = 521,185,848,963,682,432/862,748,337.20
  6. Step 6: Final answer
    x = 604,099,511.40

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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.