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Finding the Fourth Proportional to 278,689,957.74, 384,602,005.44 and 153,251,724.78

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Solution

The fourth proportional to 278,689,957.74, 384,602,005.44 and 153,251,724.78 is: 211,492,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,689,957.74 : 384,602,005.44 = 153,251,724.78 : x
  2. Step 2: Convert to fraction form
    278,689,957.74/384,602,005.44 = 153,251,724.78/x
  3. Step 3: Cross multiply
    278,689,957.74x = 384,602,005.44 × 153,251,724.78
  4. Step 4: Simplify right side
    278,689,957.74x = 58,940,920,687,526,944
  5. Step 5: Solve for x
    x = 58,940,920,687,526,944/278,689,957.74
  6. Step 6: Final answer
    x = 211,492,804.28

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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.