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Finding the Fourth Proportional to 361,661.40, 499,068.36 and 208,705.95

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Solution

The fourth proportional to 361,661.40, 499,068.36 and 208,705.95 is: 288,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,661.40 : 499,068.36 = 208,705.95 : x
  2. Step 2: Convert to fraction form
    361,661.40/499,068.36 = 208,705.95/x
  3. Step 3: Cross multiply
    361,661.40x = 499,068.36 × 208,705.95
  4. Step 4: Simplify right side
    361,661.40x = 104,158,536,188.74
  5. Step 5: Solve for x
    x = 104,158,536,188.74/361,661.40
  6. Step 6: Final answer
    x = 288,000.15

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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.