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Finding the Fourth Proportional to 566,288.53, 781,477.72 and 311,639.73

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Solution

The fourth proportional to 566,288.53, 781,477.72 and 311,639.73 is: 430,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,288.53 : 781,477.72 = 311,639.73 : x
  2. Step 2: Convert to fraction form
    566,288.53/781,477.72 = 311,639.73/x
  3. Step 3: Cross multiply
    566,288.53x = 781,477.72 × 311,639.73
  4. Step 4: Simplify right side
    566,288.53x = 243,539,505,661.82
  5. Step 5: Solve for x
    x = 243,539,505,661.82/566,288.53
  6. Step 6: Final answer
    x = 430,062.58

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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.