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Finding the Fourth Proportional to 782,172, 1,079,397.36 and 424,476

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Solution

The fourth proportional to 782,172, 1,079,397.36 and 424,476 is: 585,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,172 : 1,079,397.36 = 424,476 : x
  2. Step 2: Convert to fraction form
    782,172/1,079,397.36 = 424,476/x
  3. Step 3: Cross multiply
    782,172x = 1,079,397.36 × 424,476
  4. Step 4: Simplify right side
    782,172x = 458,178,273,783.36
  5. Step 5: Solve for x
    x = 458,178,273,783.36/782,172
  6. Step 6: Final answer
    x = 585,776.88

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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.