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Finding the Fourth Proportional to 359,564.80, 539,498.40 and 193,158.40

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Solution

The fourth proportional to 359,564.80, 539,498.40 and 193,158.40 is: 289,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,564.80 : 539,498.40 = 193,158.40 : x
  2. Step 2: Convert to fraction form
    359,564.80/539,498.40 = 193,158.40/x
  3. Step 3: Cross multiply
    359,564.80x = 539,498.40 × 193,158.40
  4. Step 4: Simplify right side
    359,564.80x = 104,208,647,746.56
  5. Step 5: Solve for x
    x = 104,208,647,746.56/359,564.80
  6. Step 6: Final answer
    x = 289,818.82

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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.