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Finding the Fourth Proportional to 359,559.40, 496,290.66 and 208,705

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Solution

The fourth proportional to 359,559.40, 496,290.66 and 208,705 is: 288,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,559.40 : 496,290.66 = 208,705 : x
  2. Step 2: Convert to fraction form
    359,559.40/496,290.66 = 208,705/x
  3. Step 3: Cross multiply
    359,559.40x = 496,290.66 × 208,705
  4. Step 4: Simplify right side
    359,559.40x = 103,578,342,195.30
  5. Step 5: Solve for x
    x = 103,578,342,195.30/359,559.40
  6. Step 6: Final answer
    x = 288,070.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.