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Finding the Fourth Proportional to 474,071.40, 711,495.90 and 458,519.40

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Solution

The fourth proportional to 474,071.40, 711,495.90 and 458,519.40 is: 688,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,071.40 : 711,495.90 = 458,519.40 : x
  2. Step 2: Convert to fraction form
    474,071.40/711,495.90 = 458,519.40/x
  3. Step 3: Cross multiply
    474,071.40x = 711,495.90 × 458,519.40
  4. Step 4: Simplify right side
    474,071.40x = 326,234,673,170.46
  5. Step 5: Solve for x
    x = 326,234,673,170.46/474,071.40
  6. Step 6: Final answer
    x = 688,155.15

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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.