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Finding the Fourth Proportional to 457,224.64, 630,969.91 and 253,288.76

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Solution

The fourth proportional to 457,224.64, 630,969.91 and 253,288.76 is: 349,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,224.64 : 630,969.91 = 253,288.76 : x
  2. Step 2: Convert to fraction form
    457,224.64/630,969.91 = 253,288.76/x
  3. Step 3: Cross multiply
    457,224.64x = 630,969.91 × 253,288.76
  4. Step 4: Simplify right side
    457,224.64x = 159,817,586,101.21
  5. Step 5: Solve for x
    x = 159,817,586,101.21/457,224.64
  6. Step 6: Final answer
    x = 349,538.44

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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.