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Finding the Fourth Proportional to 305,354.70, 458,032.05 and 147,890.70

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Solution

The fourth proportional to 305,354.70, 458,032.05 and 147,890.70 is: 221,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,354.70 : 458,032.05 = 147,890.70 : x
  2. Step 2: Convert to fraction form
    305,354.70/458,032.05 = 147,890.70/x
  3. Step 3: Cross multiply
    305,354.70x = 458,032.05 × 147,890.70
  4. Step 4: Simplify right side
    305,354.70x = 67,738,680,496.94
  5. Step 5: Solve for x
    x = 67,738,680,496.94/305,354.70
  6. Step 6: Final answer
    x = 221,836.05

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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.