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Finding the Fourth Proportional to 357,140.80, 535,711.20 and 343,362.70

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Solution

The fourth proportional to 357,140.80, 535,711.20 and 343,362.70 is: 515,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,140.80 : 535,711.20 = 343,362.70 : x
  2. Step 2: Convert to fraction form
    357,140.80/535,711.20 = 343,362.70/x
  3. Step 3: Cross multiply
    357,140.80x = 535,711.20 × 343,362.70
  4. Step 4: Simplify right side
    357,140.80x = 183,943,244,052.24
  5. Step 5: Solve for x
    x = 183,943,244,052.24/357,140.80
  6. Step 6: Final answer
    x = 515,044.05

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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.