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Finding the Fourth Proportional to 307,921.80, 461,882.70 and 265,931.40

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Solution

The fourth proportional to 307,921.80, 461,882.70 and 265,931.40 is: 398,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,921.80 : 461,882.70 = 265,931.40 : x
  2. Step 2: Convert to fraction form
    307,921.80/461,882.70 = 265,931.40/x
  3. Step 3: Cross multiply
    307,921.80x = 461,882.70 × 265,931.40
  4. Step 4: Simplify right side
    307,921.80x = 122,829,113,046.78
  5. Step 5: Solve for x
    x = 122,829,113,046.78/307,921.80
  6. Step 6: Final answer
    x = 398,897.10

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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.