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Finding the Fourth Proportional to 458,843.12, 633,433.74 and 286,856.66

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Solution

The fourth proportional to 458,843.12, 633,433.74 and 286,856.66 is: 396,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,843.12 : 633,433.74 = 286,856.66 : x
  2. Step 2: Convert to fraction form
    458,843.12/633,433.74 = 286,856.66/x
  3. Step 3: Cross multiply
    458,843.12x = 633,433.74 × 286,856.66
  4. Step 4: Simplify right side
    458,843.12x = 181,704,686,987.71
  5. Step 5: Solve for x
    x = 181,704,686,987.71/458,843.12
  6. Step 6: Final answer
    x = 396,006.13

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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.