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Finding the Fourth Proportional to 353,151.66, 487,347.66 and 208,041.78

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Solution

The fourth proportional to 353,151.66, 487,347.66 and 208,041.78 is: 287,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,151.66 : 487,347.66 = 208,041.78 : x
  2. Step 2: Convert to fraction form
    353,151.66/487,347.66 = 208,041.78/x
  3. Step 3: Cross multiply
    353,151.66x = 487,347.66 × 208,041.78
  4. Step 4: Simplify right side
    353,151.66x = 101,388,674,665.24
  5. Step 5: Solve for x
    x = 101,388,674,665.24/353,151.66
  6. Step 6: Final answer
    x = 287,096.70

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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.