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Finding the Fourth Proportional to 289,085.70, 433,282.95 and 148,772.10

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Solution

The fourth proportional to 289,085.70, 433,282.95 and 148,772.10 is: 222,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,085.70 : 433,282.95 = 148,772.10 : x
  2. Step 2: Convert to fraction form
    289,085.70/433,282.95 = 148,772.10/x
  3. Step 3: Cross multiply
    289,085.70x = 433,282.95 × 148,772.10
  4. Step 4: Simplify right side
    289,085.70x = 64,460,414,365.70
  5. Step 5: Solve for x
    x = 64,460,414,365.70/289,085.70
  6. Step 6: Final answer
    x = 222,980.29

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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.