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Finding the Fourth Proportional to 614,324.40, 847,836.36 and 342,417.12

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Solution

The fourth proportional to 614,324.40, 847,836.36 and 342,417.12 is: 472,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,324.40 : 847,836.36 = 342,417.12 : x
  2. Step 2: Convert to fraction form
    614,324.40/847,836.36 = 342,417.12/x
  3. Step 3: Cross multiply
    614,324.40x = 847,836.36 × 342,417.12
  4. Step 4: Simplify right side
    614,324.40x = 290,313,684,622.48
  5. Step 5: Solve for x
    x = 290,313,684,622.48/614,324.40
  6. Step 6: Final answer
    x = 472,573.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.