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Finding the Fourth Proportional to 442,053.20, 663,009.40 and 146,565.20

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Solution

The fourth proportional to 442,053.20, 663,009.40 and 146,565.20 is: 219,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,053.20 : 663,009.40 = 146,565.20 : x
  2. Step 2: Convert to fraction form
    442,053.20/663,009.40 = 146,565.20/x
  3. Step 3: Cross multiply
    442,053.20x = 663,009.40 × 146,565.20
  4. Step 4: Simplify right side
    442,053.20x = 97,174,105,312.88
  5. Step 5: Solve for x
    x = 97,174,105,312.88/442,053.20
  6. Step 6: Final answer
    x = 219,824.46

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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.