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Finding the Fourth Proportional to 457,384.67, 631,190.22 and 253,448.80

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Solution

The fourth proportional to 457,384.67, 631,190.22 and 253,448.80 is: 349,759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,384.67 : 631,190.22 = 253,448.80 : x
  2. Step 2: Convert to fraction form
    457,384.67/631,190.22 = 253,448.80/x
  3. Step 3: Cross multiply
    457,384.67x = 631,190.22 × 253,448.80
  4. Step 4: Simplify right side
    457,384.67x = 159,974,403,830.74
  5. Step 5: Solve for x
    x = 159,974,403,830.74/457,384.67
  6. Step 6: Final answer
    x = 349,759.00

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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.