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Finding the Fourth Proportional to 317,670.08, 438,389.70 and 174,443

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Solution

The fourth proportional to 317,670.08, 438,389.70 and 174,443 is: 240,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,670.08 : 438,389.70 = 174,443 : x
  2. Step 2: Convert to fraction form
    317,670.08/438,389.70 = 174,443/x
  3. Step 3: Cross multiply
    317,670.08x = 438,389.70 × 174,443
  4. Step 4: Simplify right side
    317,670.08x = 76,474,014,437.10
  5. Step 5: Solve for x
    x = 76,474,014,437.10/317,670.08
  6. Step 6: Final answer
    x = 240,734.08

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1.5x scale

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.