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Finding the Fourth Proportional to 488,364.10, 732,546.15 and 278,412.10

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Solution

The fourth proportional to 488,364.10, 732,546.15 and 278,412.10 is: 417,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,364.10 : 732,546.15 = 278,412.10 : x
  2. Step 2: Convert to fraction form
    488,364.10/732,546.15 = 278,412.10/x
  3. Step 3: Cross multiply
    488,364.10x = 732,546.15 × 278,412.10
  4. Step 4: Simplify right side
    488,364.10x = 203,949,711,968.42
  5. Step 5: Solve for x
    x = 203,949,711,968.42/488,364.10
  6. Step 6: Final answer
    x = 417,618.15

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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.