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Finding the Fourth Proportional to 502,405.60, 753,608.40 and 446,418.40

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Solution

The fourth proportional to 502,405.60, 753,608.40 and 446,418.40 is: 669,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,405.60 : 753,608.40 = 446,418.40 : x
  2. Step 2: Convert to fraction form
    502,405.60/753,608.40 = 446,418.40/x
  3. Step 3: Cross multiply
    502,405.60x = 753,608.40 × 446,418.40
  4. Step 4: Simplify right side
    502,405.60x = 336,424,656,154.56
  5. Step 5: Solve for x
    x = 336,424,656,154.56/502,405.60
  6. Step 6: Final answer
    x = 669,627.60

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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.