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Finding the Fourth Proportional to 361,870.72, 499,371.96 and 208,903.74

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Solution

The fourth proportional to 361,870.72, 499,371.96 and 208,903.74 is: 288,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,870.72 : 499,371.96 = 208,903.74 : x
  2. Step 2: Convert to fraction form
    361,870.72/499,371.96 = 208,903.74/x
  3. Step 3: Cross multiply
    361,870.72x = 499,371.96 × 208,903.74
  4. Step 4: Simplify right side
    361,870.72x = 104,320,670,095.13
  5. Step 5: Solve for x
    x = 104,320,670,095.13/361,870.72
  6. Step 6: Final answer
    x = 288,281.60

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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.