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Finding the Fourth Proportional to 457,086.64, 630,782.28 and 253,143.76

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Solution

The fourth proportional to 457,086.64, 630,782.28 and 253,143.76 is: 349,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,086.64 : 630,782.28 = 253,143.76 : x
  2. Step 2: Convert to fraction form
    457,086.64/630,782.28 = 253,143.76/x
  3. Step 3: Cross multiply
    457,086.64x = 630,782.28 × 253,143.76
  4. Step 4: Simplify right side
    457,086.64x = 159,678,598,100.57
  5. Step 5: Solve for x
    x = 159,678,598,100.57/457,086.64
  6. Step 6: Final answer
    x = 349,339.89

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1.5x scale

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.