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Finding the Fourth Proportional to 397,001.76, 595,501.20 and 172,332.88

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Solution

The fourth proportional to 397,001.76, 595,501.20 and 172,332.88 is: 258,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,001.76 : 595,501.20 = 172,332.88 : x
  2. Step 2: Convert to fraction form
    397,001.76/595,501.20 = 172,332.88/x
  3. Step 3: Cross multiply
    397,001.76x = 595,501.20 × 172,332.88
  4. Step 4: Simplify right side
    397,001.76x = 102,624,436,839.46
  5. Step 5: Solve for x
    x = 102,624,436,839.46/397,001.76
  6. Step 6: Final answer
    x = 258,498.69

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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.