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Finding the Fourth Proportional to 420,951.12, 630,417.96 and 306,792.96

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Solution

The fourth proportional to 420,951.12, 630,417.96 and 306,792.96 is: 459,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,951.12 : 630,417.96 = 306,792.96 : x
  2. Step 2: Convert to fraction form
    420,951.12/630,417.96 = 306,792.96/x
  3. Step 3: Cross multiply
    420,951.12x = 630,417.96 × 306,792.96
  4. Step 4: Simplify right side
    420,951.12x = 193,407,791,985.56
  5. Step 5: Solve for x
    x = 193,407,791,985.56/420,951.12
  6. Step 6: Final answer
    x = 459,454.28

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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.