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Finding the Fourth Proportional to 475,720.40, 712,975.80 and 194,920.40

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Solution

The fourth proportional to 475,720.40, 712,975.80 and 194,920.40 is: 292,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,720.40 : 712,975.80 = 194,920.40 : x
  2. Step 2: Convert to fraction form
    475,720.40/712,975.80 = 194,920.40/x
  3. Step 3: Cross multiply
    475,720.40x = 712,975.80 × 194,920.40
  4. Step 4: Simplify right side
    475,720.40x = 138,973,528,126.32
  5. Step 5: Solve for x
    x = 138,973,528,126.32/475,720.40
  6. Step 6: Final answer
    x = 292,132.79

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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.