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Finding the Fourth Proportional to 580,311.42, 870,298.65 and 243,343.32

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Solution

The fourth proportional to 580,311.42, 870,298.65 and 243,343.32 is: 364,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,311.42 : 870,298.65 = 243,343.32 : x
  2. Step 2: Convert to fraction form
    580,311.42/870,298.65 = 243,343.32/x
  3. Step 3: Cross multiply
    580,311.42x = 870,298.65 × 243,343.32
  4. Step 4: Simplify right side
    580,311.42x = 211,781,362,882.52
  5. Step 5: Solve for x
    x = 211,781,362,882.52/580,311.42
  6. Step 6: Final answer
    x = 364,944.33

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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.