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Finding the Fourth Proportional to 389,377.61, 584,063.78 and 209,547.65

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Solution

The fourth proportional to 389,377.61, 584,063.78 and 209,547.65 is: 314,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,377.61 : 584,063.78 = 209,547.65 : x
  2. Step 2: Convert to fraction form
    389,377.61/584,063.78 = 209,547.65/x
  3. Step 3: Cross multiply
    389,377.61x = 584,063.78 × 209,547.65
  4. Step 4: Simplify right side
    389,377.61x = 122,389,192,961.54
  5. Step 5: Solve for x
    x = 122,389,192,961.54/389,377.61
  6. Step 6: Final answer
    x = 314,320.06

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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.