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Finding the Fourth Proportional to 402,912,387.60, 604,368,581.40 and 315,236,432.40

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Solution

The fourth proportional to 402,912,387.60, 604,368,581.40 and 315,236,432.40 is: 472,854,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,912,387.60 : 604,368,581.40 = 315,236,432.40 : x
  2. Step 2: Convert to fraction form
    402,912,387.60/604,368,581.40 = 315,236,432.40/x
  3. Step 3: Cross multiply
    402,912,387.60x = 604,368,581.40 × 315,236,432.40
  4. Step 4: Simplify right side
    402,912,387.60x = 190,518,995,455,184,960
  5. Step 5: Solve for x
    x = 190,518,995,455,184,960/402,912,387.60
  6. Step 6: Final answer
    x = 472,854,648.60

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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.