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Finding the Fourth Proportional to 474,996.40, 712,541.36 and 138,040

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Solution

The fourth proportional to 474,996.40, 712,541.36 and 138,040 is: 207,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,996.40 : 712,541.36 = 138,040 : x
  2. Step 2: Convert to fraction form
    474,996.40/712,541.36 = 138,040/x
  3. Step 3: Cross multiply
    474,996.40x = 712,541.36 × 138,040
  4. Step 4: Simplify right side
    474,996.40x = 98,359,209,334.40
  5. Step 5: Solve for x
    x = 98,359,209,334.40/474,996.40
  6. Step 6: Final answer
    x = 207,073.59

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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.