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Finding the Fourth Proportional to 417,884.60, 627,095.70 and 231,030.20

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Solution

The fourth proportional to 417,884.60, 627,095.70 and 231,030.20 is: 346,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,884.60 : 627,095.70 = 231,030.20 : x
  2. Step 2: Convert to fraction form
    417,884.60/627,095.70 = 231,030.20/x
  3. Step 3: Cross multiply
    417,884.60x = 627,095.70 × 231,030.20
  4. Step 4: Simplify right side
    417,884.60x = 144,878,044,990.14
  5. Step 5: Solve for x
    x = 144,878,044,990.14/417,884.60
  6. Step 6: Final answer
    x = 346,693.91

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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.