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Finding the Fourth Proportional to 475,340.78, 713,127.80 and 138,384.45

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Solution

The fourth proportional to 475,340.78, 713,127.80 and 138,384.45 is: 207,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,340.78 : 713,127.80 = 138,384.45 : x
  2. Step 2: Convert to fraction form
    475,340.78/713,127.80 = 138,384.45/x
  3. Step 3: Cross multiply
    475,340.78x = 713,127.80 × 138,384.45
  4. Step 4: Simplify right side
    475,340.78x = 98,685,798,382.71
  5. Step 5: Solve for x
    x = 98,685,798,382.71/475,340.78
  6. Step 6: Final answer
    x = 207,610.63

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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.