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Finding the Fourth Proportional to 457,085.64, 630,780.90 and 253,142.76

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Solution

The fourth proportional to 457,085.64, 630,780.90 and 253,142.76 is: 349,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,085.64 : 630,780.90 = 253,142.76 : x
  2. Step 2: Convert to fraction form
    457,085.64/630,780.90 = 253,142.76/x
  3. Step 3: Cross multiply
    457,085.64x = 630,780.90 × 253,142.76
  4. Step 4: Simplify right side
    457,085.64x = 159,677,617,981.28
  5. Step 5: Solve for x
    x = 159,677,617,981.28/457,085.64
  6. Step 6: Final answer
    x = 349,338.51

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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.