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Finding the Fourth Proportional to 389,590.32, 584,744.70 and 197,599.50

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Solution

The fourth proportional to 389,590.32, 584,744.70 and 197,599.50 is: 296,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,590.32 : 584,744.70 = 197,599.50 : x
  2. Step 2: Convert to fraction form
    389,590.32/584,744.70 = 197,599.50/x
  3. Step 3: Cross multiply
    389,590.32x = 584,744.70 × 197,599.50
  4. Step 4: Simplify right side
    389,590.32x = 115,545,260,347.65
  5. Step 5: Solve for x
    x = 115,545,260,347.65/389,590.32
  6. Step 6: Final answer
    x = 296,581.45

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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.