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Finding the Fourth Proportional to 389,314, 584,034.18 and 152,528.32

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Solution

The fourth proportional to 389,314, 584,034.18 and 152,528.32 is: 228,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,314 : 584,034.18 = 152,528.32 : x
  2. Step 2: Convert to fraction form
    389,314/584,034.18 = 152,528.32/x
  3. Step 3: Cross multiply
    389,314x = 584,034.18 × 152,528.32
  4. Step 4: Simplify right side
    389,314x = 89,081,752,297.98
  5. Step 5: Solve for x
    x = 89,081,752,297.98/389,314
  6. Step 6: Final answer
    x = 228,817.23

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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.