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Finding the Fourth Proportional to 314,907.90, 472,419.45 and 127,938.30

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Solution

The fourth proportional to 314,907.90, 472,419.45 and 127,938.30 is: 191,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,907.90 : 472,419.45 = 127,938.30 : x
  2. Step 2: Convert to fraction form
    314,907.90/472,419.45 = 127,938.30/x
  3. Step 3: Cross multiply
    314,907.90x = 472,419.45 × 127,938.30
  4. Step 4: Simplify right side
    314,907.90x = 60,440,541,319.94
  5. Step 5: Solve for x
    x = 60,440,541,319.94/314,907.90
  6. Step 6: Final answer
    x = 191,930.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.