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Finding the Fourth Proportional to 290,377, 435,731.10 and 112,860.88

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Solution

The fourth proportional to 290,377, 435,731.10 and 112,860.88 is: 169,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,377 : 435,731.10 = 112,860.88 : x
  2. Step 2: Convert to fraction form
    290,377/435,731.10 = 112,860.88/x
  3. Step 3: Cross multiply
    290,377x = 435,731.10 × 112,860.88
  4. Step 4: Simplify right side
    290,377x = 49,176,995,389.37
  5. Step 5: Solve for x
    x = 49,176,995,389.37/290,377
  6. Step 6: Final answer
    x = 169,355.68

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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.