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Finding the Fourth Proportional to 310,448.26, 428,419 and 176,312.26

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Solution

The fourth proportional to 310,448.26, 428,419 and 176,312.26 is: 243,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,448.26 : 428,419 = 176,312.26 : x
  2. Step 2: Convert to fraction form
    310,448.26/428,419 = 176,312.26/x
  3. Step 3: Cross multiply
    310,448.26x = 428,419 × 176,312.26
  4. Step 4: Simplify right side
    310,448.26x = 75,535,522,116.94
  5. Step 5: Solve for x
    x = 75,535,522,116.94/310,448.26
  6. Step 6: Final answer
    x = 243,311.15

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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.