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Finding the Fourth Proportional to 307,564.80, 461,347.20 and 278,040.30

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Solution

The fourth proportional to 307,564.80, 461,347.20 and 278,040.30 is: 417,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,564.80 : 461,347.20 = 278,040.30 : x
  2. Step 2: Convert to fraction form
    307,564.80/461,347.20 = 278,040.30/x
  3. Step 3: Cross multiply
    307,564.80x = 461,347.20 × 278,040.30
  4. Step 4: Simplify right side
    307,564.80x = 128,273,113,892.16
  5. Step 5: Solve for x
    x = 128,273,113,892.16/307,564.80
  6. Step 6: Final answer
    x = 417,060.45

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1.5x scale

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.