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Finding the Fourth Proportional to 359,683.40, 538,877.10 and 172,281.80

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Solution

The fourth proportional to 359,683.40, 538,877.10 and 172,281.80 is: 258,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,683.40 : 538,877.10 = 172,281.80 : x
  2. Step 2: Convert to fraction form
    359,683.40/538,877.10 = 172,281.80/x
  3. Step 3: Cross multiply
    359,683.40x = 538,877.10 × 172,281.80
  4. Step 4: Simplify right side
    359,683.40x = 92,838,716,766.78
  5. Step 5: Solve for x
    x = 92,838,716,766.78/359,683.40
  6. Step 6: Final answer
    x = 258,112.32

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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.