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Finding the Fourth Proportional to 458,419.85, 688,082.31 and 344,170.28

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Solution

The fourth proportional to 458,419.85, 688,082.31 and 344,170.28 is: 516,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,419.85 : 688,082.31 = 344,170.28 : x
  2. Step 2: Convert to fraction form
    458,419.85/688,082.31 = 344,170.28/x
  3. Step 3: Cross multiply
    458,419.85x = 688,082.31 × 344,170.28
  4. Step 4: Simplify right side
    458,419.85x = 236,817,483,015.95
  5. Step 5: Solve for x
    x = 236,817,483,015.95/458,419.85
  6. Step 6: Final answer
    x = 516,595.18

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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.