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Finding the Fourth Proportional to 388,127.64, 581,107.68 and 209,995.68

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Solution

The fourth proportional to 388,127.64, 581,107.68 and 209,995.68 is: 314,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,127.64 : 581,107.68 = 209,995.68 : x
  2. Step 2: Convert to fraction form
    388,127.64/581,107.68 = 209,995.68/x
  3. Step 3: Cross multiply
    388,127.64x = 581,107.68 × 209,995.68
  4. Step 4: Simplify right side
    388,127.64x = 122,030,102,414.82
  5. Step 5: Solve for x
    x = 122,030,102,414.82/388,127.64
  6. Step 6: Final answer
    x = 314,407.14

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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.