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Finding the Fourth Proportional to 390,424.74, 538,725.78 and 229,264.71

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Solution

The fourth proportional to 390,424.74, 538,725.78 and 229,264.71 is: 316,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,424.74 : 538,725.78 = 229,264.71 : x
  2. Step 2: Convert to fraction form
    390,424.74/538,725.78 = 229,264.71/x
  3. Step 3: Cross multiply
    390,424.74x = 538,725.78 × 229,264.71
  4. Step 4: Simplify right side
    390,424.74x = 123,510,809,721.22
  5. Step 5: Solve for x
    x = 123,510,809,721.22/390,424.74
  6. Step 6: Final answer
    x = 316,349.85

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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.