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Finding the Fourth Proportional to 359,206.81, 539,020.27 and 199,417.30

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Solution

The fourth proportional to 359,206.81, 539,020.27 and 199,417.30 is: 299,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,206.81 : 539,020.27 = 199,417.30 : x
  2. Step 2: Convert to fraction form
    359,206.81/539,020.27 = 199,417.30/x
  3. Step 3: Cross multiply
    359,206.81x = 539,020.27 × 199,417.30
  4. Step 4: Simplify right side
    359,206.81x = 107,489,966,888.67
  5. Step 5: Solve for x
    x = 107,489,966,888.67/359,206.81
  6. Step 6: Final answer
    x = 299,242.56

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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.