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Finding the Fourth Proportional to 390,669.68, 586,027.44 and 150,784.88

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Solution

The fourth proportional to 390,669.68, 586,027.44 and 150,784.88 is: 226,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,669.68 : 586,027.44 = 150,784.88 : x
  2. Step 2: Convert to fraction form
    390,669.68/586,027.44 = 150,784.88/x
  3. Step 3: Cross multiply
    390,669.68x = 586,027.44 × 150,784.88
  4. Step 4: Simplify right side
    390,669.68x = 88,364,077,217.11
  5. Step 5: Solve for x
    x = 88,364,077,217.11/390,669.68
  6. Step 6: Final answer
    x = 226,186.17

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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.