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Finding the Fourth Proportional to 290,355.86, 435,594.26 and 146,342.62

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Solution

The fourth proportional to 290,355.86, 435,594.26 and 146,342.62 is: 219,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,355.86 : 435,594.26 = 146,342.62 : x
  2. Step 2: Convert to fraction form
    290,355.86/435,594.26 = 146,342.62/x
  3. Step 3: Cross multiply
    290,355.86x = 435,594.26 × 146,342.62
  4. Step 4: Simplify right side
    290,355.86x = 63,746,002,355.68
  5. Step 5: Solve for x
    x = 63,746,002,355.68/290,355.86
  6. Step 6: Final answer
    x = 219,544.40

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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.