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Finding the Fourth Proportional to 375,359.31, 517,948.52 and 299,071.71

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Solution

The fourth proportional to 375,359.31, 517,948.52 and 299,071.71 is: 412,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,359.31 : 517,948.52 = 299,071.71 : x
  2. Step 2: Convert to fraction form
    375,359.31/517,948.52 = 299,071.71/x
  3. Step 3: Cross multiply
    375,359.31x = 517,948.52 × 299,071.71
  4. Step 4: Simplify right side
    375,359.31x = 154,903,748,073.01
  5. Step 5: Solve for x
    x = 154,903,748,073.01/375,359.31
  6. Step 6: Final answer
    x = 412,681.25

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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.