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Finding the Fourth Proportional to 409,029.20, 613,543.80 and 304,053.20

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Solution

The fourth proportional to 409,029.20, 613,543.80 and 304,053.20 is: 456,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,029.20 : 613,543.80 = 304,053.20 : x
  2. Step 2: Convert to fraction form
    409,029.20/613,543.80 = 304,053.20/x
  3. Step 3: Cross multiply
    409,029.20x = 613,543.80 × 304,053.20
  4. Step 4: Simplify right side
    409,029.20x = 186,549,955,730.16
  5. Step 5: Solve for x
    x = 186,549,955,730.16/409,029.20
  6. Step 6: Final answer
    x = 456,079.80

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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.