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Finding the Fourth Proportional to 317,730.98, 438,471.78 and 174,494

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Solution

The fourth proportional to 317,730.98, 438,471.78 and 174,494 is: 240,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,730.98 : 438,471.78 = 174,494 : x
  2. Step 2: Convert to fraction form
    317,730.98/438,471.78 = 174,494/x
  3. Step 3: Cross multiply
    317,730.98x = 438,471.78 × 174,494
  4. Step 4: Simplify right side
    317,730.98x = 76,510,694,779.32
  5. Step 5: Solve for x
    x = 76,510,694,779.32/317,730.98
  6. Step 6: Final answer
    x = 240,803.38

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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.