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Finding the Fourth Proportional to 457,966.51, 631,978.84 and 276,646.87

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Solution

The fourth proportional to 457,966.51, 631,978.84 and 276,646.87 is: 381,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,966.51 : 631,978.84 = 276,646.87 : x
  2. Step 2: Convert to fraction form
    457,966.51/631,978.84 = 276,646.87/x
  3. Step 3: Cross multiply
    457,966.51x = 631,978.84 × 276,646.87
  4. Step 4: Simplify right side
    457,966.51x = 174,834,969,641.98
  5. Step 5: Solve for x
    x = 174,834,969,641.98/457,966.51
  6. Step 6: Final answer
    x = 381,763.65

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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.