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Finding the Fourth Proportional to 230,044.98, 317,434.50 and 128,046

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Solution

The fourth proportional to 230,044.98, 317,434.50 and 128,046 is: 176,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,044.98 : 317,434.50 = 128,046 : x
  2. Step 2: Convert to fraction form
    230,044.98/317,434.50 = 128,046/x
  3. Step 3: Cross multiply
    230,044.98x = 317,434.50 × 128,046
  4. Step 4: Simplify right side
    230,044.98x = 40,646,217,987
  5. Step 5: Solve for x
    x = 40,646,217,987/230,044.98
  6. Step 6: Final answer
    x = 176,688.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.