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Finding the Fourth Proportional to 458,667.90, 688,001.85 and 409,679.10

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Solution

The fourth proportional to 458,667.90, 688,001.85 and 409,679.10 is: 614,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,667.90 : 688,001.85 = 409,679.10 : x
  2. Step 2: Convert to fraction form
    458,667.90/688,001.85 = 409,679.10/x
  3. Step 3: Cross multiply
    458,667.90x = 688,001.85 × 409,679.10
  4. Step 4: Simplify right side
    458,667.90x = 281,859,978,706.34
  5. Step 5: Solve for x
    x = 281,859,978,706.34/458,667.90
  6. Step 6: Final answer
    x = 614,518.65

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Similar ratio
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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.