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Finding the Fourth Proportional to 513,565.84, 708,718.44 and 287,212.24

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Solution

The fourth proportional to 513,565.84, 708,718.44 and 287,212.24 is: 396,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,565.84 : 708,718.44 = 287,212.24 : x
  2. Step 2: Convert to fraction form
    513,565.84/708,718.44 = 287,212.24/x
  3. Step 3: Cross multiply
    513,565.84x = 708,718.44 × 287,212.24
  4. Step 4: Simplify right side
    513,565.84x = 203,552,610,681.71
  5. Step 5: Solve for x
    x = 203,552,610,681.71/513,565.84
  6. Step 6: Final answer
    x = 396,351.54

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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.