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Finding the Fourth Proportional to 305,308.40, 457,955.40 and 83,692.40

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Solution

The fourth proportional to 305,308.40, 457,955.40 and 83,692.40 is: 125,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,308.40 : 457,955.40 = 83,692.40 : x
  2. Step 2: Convert to fraction form
    305,308.40/457,955.40 = 83,692.40/x
  3. Step 3: Cross multiply
    305,308.40x = 457,955.40 × 83,692.40
  4. Step 4: Simplify right side
    305,308.40x = 38,327,386,518.96
  5. Step 5: Solve for x
    x = 38,327,386,518.96/305,308.40
  6. Step 6: Final answer
    x = 125,536.63

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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.