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Finding the Fourth Proportional to 458,489.70, 686,422.35 and 406,001.70

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Solution

The fourth proportional to 458,489.70, 686,422.35 and 406,001.70 is: 607,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,489.70 : 686,422.35 = 406,001.70 : x
  2. Step 2: Convert to fraction form
    458,489.70/686,422.35 = 406,001.70/x
  3. Step 3: Cross multiply
    458,489.70x = 686,422.35 × 406,001.70
  4. Step 4: Simplify right side
    458,489.70x = 278,688,641,018.00
  5. Step 5: Solve for x
    x = 278,688,641,018.00/458,489.70
  6. Step 6: Final answer
    x = 607,840.57

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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.