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Finding the Fourth Proportional to 390,119.34, 585,199.26 and 123,900.69

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Solution

The fourth proportional to 390,119.34, 585,199.26 and 123,900.69 is: 185,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,119.34 : 585,199.26 = 123,900.69 : x
  2. Step 2: Convert to fraction form
    390,119.34/585,199.26 = 123,900.69/x
  3. Step 3: Cross multiply
    390,119.34x = 585,199.26 × 123,900.69
  4. Step 4: Simplify right side
    390,119.34x = 72,506,592,101.49
  5. Step 5: Solve for x
    x = 72,506,592,101.49/390,119.34
  6. Step 6: Final answer
    x = 185,857.47

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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.