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Finding the Fourth Proportional to 287,654.10, 431,999.55 and 278,322.90

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Solution

The fourth proportional to 287,654.10, 431,999.55 and 278,322.90 is: 417,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,654.10 : 431,999.55 = 278,322.90 : x
  2. Step 2: Convert to fraction form
    287,654.10/431,999.55 = 278,322.90/x
  3. Step 3: Cross multiply
    287,654.10x = 431,999.55 × 278,322.90
  4. Step 4: Simplify right side
    287,654.10x = 120,235,367,554.70
  5. Step 5: Solve for x
    x = 120,235,367,554.70/287,654.10
  6. Step 6: Final answer
    x = 417,985.93

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1.5x scale

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.