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Finding the Fourth Proportional to 359,830.80, 538,709.40 and 219,862.80

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Solution

The fourth proportional to 359,830.80, 538,709.40 and 219,862.80 is: 329,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,830.80 : 538,709.40 = 219,862.80 : x
  2. Step 2: Convert to fraction form
    359,830.80/538,709.40 = 219,862.80/x
  3. Step 3: Cross multiply
    359,830.80x = 538,709.40 × 219,862.80
  4. Step 4: Simplify right side
    359,830.80x = 118,442,157,070.32
  5. Step 5: Solve for x
    x = 118,442,157,070.32/359,830.80
  6. Step 6: Final answer
    x = 329,160.70

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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.