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Finding the Fourth Proportional to 457,242.90, 630,988.29 and 256,046.10

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Solution

The fourth proportional to 457,242.90, 630,988.29 and 256,046.10 is: 353,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,242.90 : 630,988.29 = 256,046.10 : x
  2. Step 2: Convert to fraction form
    457,242.90/630,988.29 = 256,046.10/x
  3. Step 3: Cross multiply
    457,242.90x = 630,988.29 × 256,046.10
  4. Step 4: Simplify right side
    457,242.90x = 161,562,090,800.17
  5. Step 5: Solve for x
    x = 161,562,090,800.17/457,242.90
  6. Step 6: Final answer
    x = 353,339.75

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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.