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Finding the Fourth Proportional to 665,224.89, 998,547.77 and 286,333.29

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Solution

The fourth proportional to 665,224.89, 998,547.77 and 286,333.29 is: 429,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,224.89 : 998,547.77 = 286,333.29 : x
  2. Step 2: Convert to fraction form
    665,224.89/998,547.77 = 286,333.29/x
  3. Step 3: Cross multiply
    665,224.89x = 998,547.77 × 286,333.29
  4. Step 4: Simplify right side
    665,224.89x = 285,917,468,206.26
  5. Step 5: Solve for x
    x = 285,917,468,206.26/665,224.89
  6. Step 6: Final answer
    x = 429,805.73

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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.