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Finding the Fourth Proportional to 397,341.20, 596,011.80 and 97,819.40

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Solution

The fourth proportional to 397,341.20, 596,011.80 and 97,819.40 is: 146,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,341.20 : 596,011.80 = 97,819.40 : x
  2. Step 2: Convert to fraction form
    397,341.20/596,011.80 = 97,819.40/x
  3. Step 3: Cross multiply
    397,341.20x = 596,011.80 × 97,819.40
  4. Step 4: Simplify right side
    397,341.20x = 58,301,516,668.92
  5. Step 5: Solve for x
    x = 58,301,516,668.92/397,341.20
  6. Step 6: Final answer
    x = 146,729.10

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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.