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Finding the Fourth Proportional to 566,389.92, 781,601.76 and 311,735.64

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Solution

The fourth proportional to 566,389.92, 781,601.76 and 311,735.64 is: 430,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,389.92 : 781,601.76 = 311,735.64 : x
  2. Step 2: Convert to fraction form
    566,389.92/781,601.76 = 311,735.64/x
  3. Step 3: Cross multiply
    566,389.92x = 781,601.76 × 311,735.64
  4. Step 4: Simplify right side
    566,389.92x = 243,653,124,878.73
  5. Step 5: Solve for x
    x = 243,653,124,878.73/566,389.92
  6. Step 6: Final answer
    x = 430,186.20

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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.