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Finding the Fourth Proportional to 310,617.94, 428,549.67 and 253,158.46

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Solution

The fourth proportional to 310,617.94, 428,549.67 and 253,158.46 is: 349,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,617.94 : 428,549.67 = 253,158.46 : x
  2. Step 2: Convert to fraction form
    310,617.94/428,549.67 = 253,158.46/x
  3. Step 3: Cross multiply
    310,617.94x = 428,549.67 × 253,158.46
  4. Step 4: Simplify right side
    310,617.94x = 108,490,974,490.71
  5. Step 5: Solve for x
    x = 108,490,974,490.71/310,617.94
  6. Step 6: Final answer
    x = 349,274.66

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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.