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Finding the Fourth Proportional to 317,460.78, 438,094.50 and 174,223.14

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Solution

The fourth proportional to 317,460.78, 438,094.50 and 174,223.14 is: 240,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,460.78 : 438,094.50 = 174,223.14 : x
  2. Step 2: Convert to fraction form
    317,460.78/438,094.50 = 174,223.14/x
  3. Step 3: Cross multiply
    317,460.78x = 438,094.50 × 174,223.14
  4. Step 4: Simplify right side
    317,460.78x = 76,326,199,406.73
  5. Step 5: Solve for x
    x = 76,326,199,406.73/317,460.78
  6. Step 6: Final answer
    x = 240,427.18

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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.