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Finding the Fourth Proportional to 309,394.64, 426,948.36 and 175,250

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Solution

The fourth proportional to 309,394.64, 426,948.36 and 175,250 is: 241,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,394.64 : 426,948.36 = 175,250 : x
  2. Step 2: Convert to fraction form
    309,394.64/426,948.36 = 175,250/x
  3. Step 3: Cross multiply
    309,394.64x = 426,948.36 × 175,250
  4. Step 4: Simplify right side
    309,394.64x = 74,822,700,090
  5. Step 5: Solve for x
    x = 74,822,700,090/309,394.64
  6. Step 6: Final answer
    x = 241,835.80

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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.