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Finding the Fourth Proportional to 389,095.90, 583,906.47 and 152,409.22

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Solution

The fourth proportional to 389,095.90, 583,906.47 and 152,409.22 is: 228,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,095.90 : 583,906.47 = 152,409.22 : x
  2. Step 2: Convert to fraction form
    389,095.90/583,906.47 = 152,409.22/x
  3. Step 3: Cross multiply
    389,095.90x = 583,906.47 × 152,409.22
  4. Step 4: Simplify right side
    389,095.90x = 88,992,729,645.65
  5. Step 5: Solve for x
    x = 88,992,729,645.65/389,095.90
  6. Step 6: Final answer
    x = 228,716.70

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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.