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Finding the Fourth Proportional to 432,085.33, 648,228.80 and 147,778.08

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Solution

The fourth proportional to 432,085.33, 648,228.80 and 147,778.08 is: 221,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,085.33 : 648,228.80 = 147,778.08 : x
  2. Step 2: Convert to fraction form
    432,085.33/648,228.80 = 147,778.08/x
  3. Step 3: Cross multiply
    432,085.33x = 648,228.80 × 147,778.08
  4. Step 4: Simplify right side
    432,085.33x = 95,794,007,464.70
  5. Step 5: Solve for x
    x = 95,794,007,464.70/432,085.33
  6. Step 6: Final answer
    x = 221,701.60

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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.