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Finding the Fourth Proportional to 681,952.50, 941,094.51 and 380,146.50

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Solution

The fourth proportional to 681,952.50, 941,094.51 and 380,146.50 is: 524,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,952.50 : 941,094.51 = 380,146.50 : x
  2. Step 2: Convert to fraction form
    681,952.50/941,094.51 = 380,146.50/x
  3. Step 3: Cross multiply
    681,952.50x = 941,094.51 × 380,146.50
  4. Step 4: Simplify right side
    681,952.50x = 357,753,784,145.72
  5. Step 5: Solve for x
    x = 357,753,784,145.72/681,952.50
  6. Step 6: Final answer
    x = 524,602.20

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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.