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Finding the Fourth Proportional to 650,850, 976,292.40 and 207,618

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Solution

The fourth proportional to 650,850, 976,292.40 and 207,618 is: 311,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,850 : 976,292.40 = 207,618 : x
  2. Step 2: Convert to fraction form
    650,850/976,292.40 = 207,618/x
  3. Step 3: Cross multiply
    650,850x = 976,292.40 × 207,618
  4. Step 4: Simplify right side
    650,850x = 202,695,875,503.20
  5. Step 5: Solve for x
    x = 202,695,875,503.20/650,850
  6. Step 6: Final answer
    x = 311,432.55

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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.