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Finding the Fourth Proportional to 497,812.80, 746,719.20 and 287,204.70

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Solution

The fourth proportional to 497,812.80, 746,719.20 and 287,204.70 is: 430,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,812.80 : 746,719.20 = 287,204.70 : x
  2. Step 2: Convert to fraction form
    497,812.80/746,719.20 = 287,204.70/x
  3. Step 3: Cross multiply
    497,812.80x = 746,719.20 × 287,204.70
  4. Step 4: Simplify right side
    497,812.80x = 214,461,263,820.24
  5. Step 5: Solve for x
    x = 214,461,263,820.24/497,812.80
  6. Step 6: Final answer
    x = 430,807.05

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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.