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Finding the Fourth Proportional to 402,876,462.60, 604,314,693.90 and 208,723,350.60

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Solution

The fourth proportional to 402,876,462.60, 604,314,693.90 and 208,723,350.60 is: 313,085,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,876,462.60 : 604,314,693.90 = 208,723,350.60 : x
  2. Step 2: Convert to fraction form
    402,876,462.60/604,314,693.90 = 208,723,350.60/x
  3. Step 3: Cross multiply
    402,876,462.60x = 604,314,693.90 × 208,723,350.60
  4. Step 4: Simplify right side
    402,876,462.60x = 126,134,587,727,621,376
  5. Step 5: Solve for x
    x = 126,134,587,727,621,376/402,876,462.60
  6. Step 6: Final answer
    x = 313,085,025.90

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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.