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Finding the Fourth Proportional to 458,726.60, 686,729.10 and 340,920.20

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Solution

The fourth proportional to 458,726.60, 686,729.10 and 340,920.20 is: 510,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,726.60 : 686,729.10 = 340,920.20 : x
  2. Step 2: Convert to fraction form
    458,726.60/686,729.10 = 340,920.20/x
  3. Step 3: Cross multiply
    458,726.60x = 686,729.10 × 340,920.20
  4. Step 4: Simplify right side
    458,726.60x = 234,119,822,117.82
  5. Step 5: Solve for x
    x = 234,119,822,117.82/458,726.60
  6. Step 6: Final answer
    x = 510,368.97

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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.