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Finding the Fourth Proportional to 457,205.48, 630,921.64 and 253,242.64

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Solution

The fourth proportional to 457,205.48, 630,921.64 and 253,242.64 is: 349,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,205.48 : 630,921.64 = 253,242.64 : x
  2. Step 2: Convert to fraction form
    457,205.48/630,921.64 = 253,242.64/x
  3. Step 3: Cross multiply
    457,205.48x = 630,921.64 × 253,242.64
  4. Step 4: Simplify right side
    457,205.48x = 159,776,261,746.73
  5. Step 5: Solve for x
    x = 159,776,261,746.73/457,205.48
  6. Step 6: Final answer
    x = 349,462.70

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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.