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Finding the Fourth Proportional to 305,686.45, 458,693.70 and 128,211.40

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Solution

The fourth proportional to 305,686.45, 458,693.70 and 128,211.40 is: 192,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,686.45 : 458,693.70 = 128,211.40 : x
  2. Step 2: Convert to fraction form
    305,686.45/458,693.70 = 128,211.40/x
  3. Step 3: Cross multiply
    305,686.45x = 458,693.70 × 128,211.40
  4. Step 4: Simplify right side
    305,686.45x = 58,809,761,448.18
  5. Step 5: Solve for x
    x = 58,809,761,448.18/305,686.45
  6. Step 6: Final answer
    x = 192,385.90

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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.