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Finding the Fourth Proportional to 389,788, 537,907.71 and 210,940

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Solution

The fourth proportional to 389,788, 537,907.71 and 210,940 is: 291,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,788 : 537,907.71 = 210,940 : x
  2. Step 2: Convert to fraction form
    389,788/537,907.71 = 210,940/x
  3. Step 3: Cross multiply
    389,788x = 537,907.71 × 210,940
  4. Step 4: Simplify right side
    389,788x = 113,466,252,347.40
  5. Step 5: Solve for x
    x = 113,466,252,347.40/389,788
  6. Step 6: Final answer
    x = 291,097.35

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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.