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Finding the Fourth Proportional to 843,805.72, 1,164,447.66 and 456,620.86

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Solution

The fourth proportional to 843,805.72, 1,164,447.66 and 456,620.86 is: 630,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,805.72 : 1,164,447.66 = 456,620.86 : x
  2. Step 2: Convert to fraction form
    843,805.72/1,164,447.66 = 456,620.86/x
  3. Step 3: Cross multiply
    843,805.72x = 1,164,447.66 × 456,620.86
  4. Step 4: Simplify right side
    843,805.72x = 531,711,091,934.19
  5. Step 5: Solve for x
    x = 531,711,091,934.19/843,805.72
  6. Step 6: Final answer
    x = 630,134.50

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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.