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Finding the Fourth Proportional to 343,897.60, 516,235.20 and 203,735.20

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Solution

The fourth proportional to 343,897.60, 516,235.20 and 203,735.20 is: 305,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,897.60 : 516,235.20 = 203,735.20 : x
  2. Step 2: Convert to fraction form
    343,897.60/516,235.20 = 203,735.20/x
  3. Step 3: Cross multiply
    343,897.60x = 516,235.20 × 203,735.20
  4. Step 4: Simplify right side
    343,897.60x = 105,175,281,719.04
  5. Step 5: Solve for x
    x = 105,175,281,719.04/343,897.60
  6. Step 6: Final answer
    x = 305,833.14

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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.