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Finding the Fourth Proportional to 457,225.64, 630,971.29 and 253,289.76

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Solution

The fourth proportional to 457,225.64, 630,971.29 and 253,289.76 is: 349,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,225.64 : 630,971.29 = 253,289.76 : x
  2. Step 2: Convert to fraction form
    457,225.64/630,971.29 = 253,289.76/x
  3. Step 3: Cross multiply
    457,225.64x = 630,971.29 × 253,289.76
  4. Step 4: Simplify right side
    457,225.64x = 159,818,566,610.99
  5. Step 5: Solve for x
    x = 159,818,566,610.99/457,225.64
  6. Step 6: Final answer
    x = 349,539.82

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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.