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Finding the Fourth Proportional to 457,647.57, 631,805.04 and 312,671.34

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Solution

The fourth proportional to 457,647.57, 631,805.04 and 312,671.34 is: 431,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,647.57 : 631,805.04 = 312,671.34 : x
  2. Step 2: Convert to fraction form
    457,647.57/631,805.04 = 312,671.34/x
  3. Step 3: Cross multiply
    457,647.57x = 631,805.04 × 312,671.34
  4. Step 4: Simplify right side
    457,647.57x = 197,547,328,475.55
  5. Step 5: Solve for x
    x = 197,547,328,475.55/457,647.57
  6. Step 6: Final answer
    x = 431,658.20

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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.