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Finding the Fourth Proportional to 307,000.32, 423,699.20 and 172,864

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Solution

The fourth proportional to 307,000.32, 423,699.20 and 172,864 is: 238,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,000.32 : 423,699.20 = 172,864 : x
  2. Step 2: Convert to fraction form
    307,000.32/423,699.20 = 172,864/x
  3. Step 3: Cross multiply
    307,000.32x = 423,699.20 × 172,864
  4. Step 4: Simplify right side
    307,000.32x = 73,242,338,508.80
  5. Step 5: Solve for x
    x = 73,242,338,508.80/307,000.32
  6. Step 6: Final answer
    x = 238,574.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.