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Finding the Fourth Proportional to 316,343.40, 474,614.76 and 138,999.60

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Solution

The fourth proportional to 316,343.40, 474,614.76 and 138,999.60 is: 208,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,343.40 : 474,614.76 = 138,999.60 : x
  2. Step 2: Convert to fraction form
    316,343.40/474,614.76 = 138,999.60/x
  3. Step 3: Cross multiply
    316,343.40x = 474,614.76 × 138,999.60
  4. Step 4: Simplify right side
    316,343.40x = 65,971,261,794.10
  5. Step 5: Solve for x
    x = 65,971,261,794.10/316,343.40
  6. Step 6: Final answer
    x = 208,543.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.