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Finding the Fourth Proportional to 681,953, 941,095.20 and 380,147

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Solution

The fourth proportional to 681,953, 941,095.20 and 380,147 is: 524,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,953 : 941,095.20 = 380,147 : x
  2. Step 2: Convert to fraction form
    681,953/941,095.20 = 380,147/x
  3. Step 3: Cross multiply
    681,953x = 941,095.20 × 380,147
  4. Step 4: Simplify right side
    681,953x = 357,754,516,994.40
  5. Step 5: Solve for x
    x = 357,754,516,994.40/681,953
  6. Step 6: Final answer
    x = 524,602.89

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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.