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Finding the Fourth Proportional to 290,894.34, 436,750.20 and 148,841.47

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Solution

The fourth proportional to 290,894.34, 436,750.20 and 148,841.47 is: 223,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,894.34 : 436,750.20 = 148,841.47 : x
  2. Step 2: Convert to fraction form
    290,894.34/436,750.20 = 148,841.47/x
  3. Step 3: Cross multiply
    290,894.34x = 436,750.20 × 148,841.47
  4. Step 4: Simplify right side
    290,894.34x = 65,006,543,983.71
  5. Step 5: Solve for x
    x = 65,006,543,983.71/290,894.34
  6. Step 6: Final answer
    x = 223,471.33

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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.