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Finding the Fourth Proportional to 390,643.68, 585,988.40 and 150,758.84

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Solution

The fourth proportional to 390,643.68, 585,988.40 and 150,758.84 is: 226,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,643.68 : 585,988.40 = 150,758.84 : x
  2. Step 2: Convert to fraction form
    390,643.68/585,988.40 = 150,758.84/x
  3. Step 3: Cross multiply
    390,643.68x = 585,988.40 × 150,758.84
  4. Step 4: Simplify right side
    390,643.68x = 88,342,928,884.41
  5. Step 5: Solve for x
    x = 88,342,928,884.41/390,643.68
  6. Step 6: Final answer
    x = 226,147.08

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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.