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Finding the Fourth Proportional to 602,192.80, 830,966.16 and 347,626

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Solution

The fourth proportional to 602,192.80, 830,966.16 and 347,626 is: 479,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,192.80 : 830,966.16 = 347,626 : x
  2. Step 2: Convert to fraction form
    602,192.80/830,966.16 = 347,626/x
  3. Step 3: Cross multiply
    602,192.80x = 830,966.16 × 347,626
  4. Step 4: Simplify right side
    602,192.80x = 288,865,442,336.16
  5. Step 5: Solve for x
    x = 288,865,442,336.16/602,192.80
  6. Step 6: Final answer
    x = 479,689.30

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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.