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Finding the Fourth Proportional to 302,691.40, 454,037.10 and 142,730.11

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Solution

The fourth proportional to 302,691.40, 454,037.10 and 142,730.11 is: 214,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,691.40 : 454,037.10 = 142,730.11 : x
  2. Step 2: Convert to fraction form
    302,691.40/454,037.10 = 142,730.11/x
  3. Step 3: Cross multiply
    302,691.40x = 454,037.10 × 142,730.11
  4. Step 4: Simplify right side
    302,691.40x = 64,804,765,227.08
  5. Step 5: Solve for x
    x = 64,804,765,227.08/302,691.40
  6. Step 6: Final answer
    x = 214,095.17

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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.