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Finding the Fourth Proportional to 317,628, 438,327.50 and 174,397.32

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Solution

The fourth proportional to 317,628, 438,327.50 and 174,397.32 is: 240,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,628 : 438,327.50 = 174,397.32 : x
  2. Step 2: Convert to fraction form
    317,628/438,327.50 = 174,397.32/x
  3. Step 3: Cross multiply
    317,628x = 438,327.50 × 174,397.32
  4. Step 4: Simplify right side
    317,628x = 76,443,141,282.30
  5. Step 5: Solve for x
    x = 76,443,141,282.30/317,628
  6. Step 6: Final answer
    x = 240,668.77

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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.