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Finding the Fourth Proportional to 457,456.17, 631,291 and 253,510.46

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Solution

The fourth proportional to 457,456.17, 631,291 and 253,510.46 is: 349,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,456.17 : 631,291 = 253,510.46 : x
  2. Step 2: Convert to fraction form
    457,456.17/631,291 = 253,510.46/x
  3. Step 3: Cross multiply
    457,456.17x = 631,291 × 253,510.46
  4. Step 4: Simplify right side
    457,456.17x = 160,038,868,647.41
  5. Step 5: Solve for x
    x = 160,038,868,647.41/457,456.17
  6. Step 6: Final answer
    x = 349,845.25

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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.