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Finding the Fourth Proportional to 316,878.96, 475,424.32 and 103,656.56

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Solution

The fourth proportional to 316,878.96, 475,424.32 and 103,656.56 is: 155,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,878.96 : 475,424.32 = 103,656.56 : x
  2. Step 2: Convert to fraction form
    316,878.96/475,424.32 = 103,656.56/x
  3. Step 3: Cross multiply
    316,878.96x = 475,424.32 × 103,656.56
  4. Step 4: Simplify right side
    316,878.96x = 49,280,849,551.54
  5. Step 5: Solve for x
    x = 49,280,849,551.54/316,878.96
  6. Step 6: Final answer
    x = 155,519.48

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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.