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Finding the Fourth Proportional to 370,657, 511,503.78 and 200,886.76

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Solution

The fourth proportional to 370,657, 511,503.78 and 200,886.76 is: 277,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,657 : 511,503.78 = 200,886.76 : x
  2. Step 2: Convert to fraction form
    370,657/511,503.78 = 200,886.76/x
  3. Step 3: Cross multiply
    370,657x = 511,503.78 × 200,886.76
  4. Step 4: Simplify right side
    370,657x = 102,754,337,091.95
  5. Step 5: Solve for x
    x = 102,754,337,091.95/370,657
  6. Step 6: Final answer
    x = 277,222.17

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1.5x scale

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.