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Finding the Fourth Proportional to 978,009.71, 1,466,889.98 and 378,560.76

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Solution

The fourth proportional to 978,009.71, 1,466,889.98 and 378,560.76 is: 567,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,009.71 : 1,466,889.98 = 378,560.76 : x
  2. Step 2: Convert to fraction form
    978,009.71/1,466,889.98 = 378,560.76/x
  3. Step 3: Cross multiply
    978,009.71x = 1,466,889.98 × 378,560.76
  4. Step 4: Simplify right side
    978,009.71x = 555,306,983,772.38
  5. Step 5: Solve for x
    x = 555,306,983,772.38/978,009.71
  6. Step 6: Final answer
    x = 567,792.92

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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.