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Finding the Fourth Proportional to 288,053.40, 432,080.10 and 77,691.30

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Solution

The fourth proportional to 288,053.40, 432,080.10 and 77,691.30 is: 116,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,053.40 : 432,080.10 = 77,691.30 : x
  2. Step 2: Convert to fraction form
    288,053.40/432,080.10 = 77,691.30/x
  3. Step 3: Cross multiply
    288,053.40x = 432,080.10 × 77,691.30
  4. Step 4: Simplify right side
    288,053.40x = 33,568,864,673.13
  5. Step 5: Solve for x
    x = 33,568,864,673.13/288,053.40
  6. Step 6: Final answer
    x = 116,536.95

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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.