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Finding the Fourth Proportional to 412,007.20, 618,010.80 and 293,034.40

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Solution

The fourth proportional to 412,007.20, 618,010.80 and 293,034.40 is: 439,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,007.20 : 618,010.80 = 293,034.40 : x
  2. Step 2: Convert to fraction form
    412,007.20/618,010.80 = 293,034.40/x
  3. Step 3: Cross multiply
    412,007.20x = 618,010.80 × 293,034.40
  4. Step 4: Simplify right side
    412,007.20x = 181,098,423,971.52
  5. Step 5: Solve for x
    x = 181,098,423,971.52/412,007.20
  6. Step 6: Final answer
    x = 439,551.60

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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.