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Finding the Fourth Proportional to 314,909.40, 472,421.70 and 127,939.80

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Solution

The fourth proportional to 314,909.40, 472,421.70 and 127,939.80 is: 191,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,909.40 : 472,421.70 = 127,939.80 : x
  2. Step 2: Convert to fraction form
    314,909.40/472,421.70 = 127,939.80/x
  3. Step 3: Cross multiply
    314,909.40x = 472,421.70 × 127,939.80
  4. Step 4: Simplify right side
    314,909.40x = 60,441,537,813.66
  5. Step 5: Solve for x
    x = 60,441,537,813.66/314,909.40
  6. Step 6: Final answer
    x = 191,933.10

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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.