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Finding the Fourth Proportional to 359,775, 496,547.82 and 208,959.48

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Solution

The fourth proportional to 359,775, 496,547.82 and 208,959.48 is: 288,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,775 : 496,547.82 = 208,959.48 : x
  2. Step 2: Convert to fraction form
    359,775/496,547.82 = 208,959.48/x
  3. Step 3: Cross multiply
    359,775x = 496,547.82 × 208,959.48
  4. Step 4: Simplify right side
    359,775x = 103,758,374,262.33
  5. Step 5: Solve for x
    x = 103,758,374,262.33/359,775
  6. Step 6: Final answer
    x = 288,397.96

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1.5x scale

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.