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Finding the Fourth Proportional to 457,152.31, 630,874.83 and 275,829.13

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Solution

The fourth proportional to 457,152.31, 630,874.83 and 275,829.13 is: 380,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,152.31 : 630,874.83 = 275,829.13 : x
  2. Step 2: Convert to fraction form
    457,152.31/630,874.83 = 275,829.13/x
  3. Step 3: Cross multiply
    457,152.31x = 630,874.83 × 275,829.13
  4. Step 4: Simplify right side
    457,152.31x = 174,013,655,497.80
  5. Step 5: Solve for x
    x = 174,013,655,497.80/457,152.31
  6. Step 6: Final answer
    x = 380,647.00

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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.