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Finding the Fourth Proportional to 208,049,856, 286,999,950.40 and 128,639,533

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Solution

The fourth proportional to 208,049,856, 286,999,950.40 and 128,639,533 is: 177,455,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,049,856 : 286,999,950.40 = 128,639,533 : x
  2. Step 2: Convert to fraction form
    208,049,856/286,999,950.40 = 128,639,533/x
  3. Step 3: Cross multiply
    208,049,856x = 286,999,950.40 × 128,639,533
  4. Step 4: Simplify right side
    208,049,856x = 36,919,539,590,479,160
  5. Step 5: Solve for x
    x = 36,919,539,590,479,160/208,049,856
  6. Step 6: Final answer
    x = 177,455,251.83

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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.