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Finding the Fourth Proportional to 278,088.62, 416,656.19 and 186,732.79

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Solution

The fourth proportional to 278,088.62, 416,656.19 and 186,732.79 is: 279,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,088.62 : 416,656.19 = 186,732.79 : x
  2. Step 2: Convert to fraction form
    278,088.62/416,656.19 = 186,732.79/x
  3. Step 3: Cross multiply
    278,088.62x = 416,656.19 × 186,732.79
  4. Step 4: Simplify right side
    278,088.62x = 77,803,371,513.92
  5. Step 5: Solve for x
    x = 77,803,371,513.92/278,088.62
  6. Step 6: Final answer
    x = 279,779.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.