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Finding the Fourth Proportional to 291,675, 402,511.77 and 157,539

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Solution

The fourth proportional to 291,675, 402,511.77 and 157,539 is: 217,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,675 : 402,511.77 = 157,539 : x
  2. Step 2: Convert to fraction form
    291,675/402,511.77 = 157,539/x
  3. Step 3: Cross multiply
    291,675x = 402,511.77 × 157,539
  4. Step 4: Simplify right side
    291,675x = 63,411,301,734.03
  5. Step 5: Solve for x
    x = 63,411,301,734.03/291,675
  6. Step 6: Final answer
    x = 217,403.97

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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.