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Finding the Fourth Proportional to 523,828.32, 785,747.43 and 287,041.74

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Solution

The fourth proportional to 523,828.32, 785,747.43 and 287,041.74 is: 430,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,828.32 : 785,747.43 = 287,041.74 : x
  2. Step 2: Convert to fraction form
    523,828.32/785,747.43 = 287,041.74/x
  3. Step 3: Cross multiply
    523,828.32x = 785,747.43 × 287,041.74
  4. Step 4: Simplify right side
    523,828.32x = 225,542,309,507.73
  5. Step 5: Solve for x
    x = 225,542,309,507.73/523,828.32
  6. Step 6: Final answer
    x = 430,565.32

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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.