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Finding the Fourth Proportional to 665,776.89, 998,402.72 and 286,726.05

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Solution

The fourth proportional to 665,776.89, 998,402.72 and 286,726.05 is: 429,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,776.89 : 998,402.72 = 286,726.05 : x
  2. Step 2: Convert to fraction form
    665,776.89/998,402.72 = 286,726.05/x
  3. Step 3: Cross multiply
    665,776.89x = 998,402.72 × 286,726.05
  4. Step 4: Simplify right side
    665,776.89x = 286,268,066,781.23
  5. Step 5: Solve for x
    x = 286,268,066,781.23/665,776.89
  6. Step 6: Final answer
    x = 429,975.97

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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.