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Finding the Fourth Proportional to 457,763.88, 631,721.74 and 253,823.40

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Solution

The fourth proportional to 457,763.88, 631,721.74 and 253,823.40 is: 350,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,763.88 : 631,721.74 = 253,823.40 : x
  2. Step 2: Convert to fraction form
    457,763.88/631,721.74 = 253,823.40/x
  3. Step 3: Cross multiply
    457,763.88x = 631,721.74 × 253,823.40
  4. Step 4: Simplify right side
    457,763.88x = 160,345,759,900.72
  5. Step 5: Solve for x
    x = 160,345,759,900.72/457,763.88
  6. Step 6: Final answer
    x = 350,280.50

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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.