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Finding the Fourth Proportional to 389,748, 537,853.68 and 210,900

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Solution

The fourth proportional to 389,748, 537,853.68 and 210,900 is: 291,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,748 : 537,853.68 = 210,900 : x
  2. Step 2: Convert to fraction form
    389,748/537,853.68 = 210,900/x
  3. Step 3: Cross multiply
    389,748x = 537,853.68 × 210,900
  4. Step 4: Simplify right side
    389,748x = 113,433,341,112.00
  5. Step 5: Solve for x
    x = 113,433,341,112.00/389,748
  6. Step 6: Final answer
    x = 291,042.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.