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Finding the Fourth Proportional to 291,654.30, 402,482.85 and 157,518.30

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Solution

The fourth proportional to 291,654.30, 402,482.85 and 157,518.30 is: 217,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,654.30 : 402,482.85 = 157,518.30 : x
  2. Step 2: Convert to fraction form
    291,654.30/402,482.85 = 157,518.30/x
  3. Step 3: Cross multiply
    291,654.30x = 402,482.85 × 157,518.30
  4. Step 4: Simplify right side
    291,654.30x = 63,398,414,311.16
  5. Step 5: Solve for x
    x = 63,398,414,311.16/291,654.30
  6. Step 6: Final answer
    x = 217,375.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.