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Finding the Fourth Proportional to 722,850, 997,538.85 and 400,565.47

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Solution

The fourth proportional to 722,850, 997,538.85 and 400,565.47 is: 552,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,850 : 997,538.85 = 400,565.47 : x
  2. Step 2: Convert to fraction form
    722,850/997,538.85 = 400,565.47/x
  3. Step 3: Cross multiply
    722,850x = 997,538.85 × 400,565.47
  4. Step 4: Simplify right side
    722,850x = 399,579,618,293.51
  5. Step 5: Solve for x
    x = 399,579,618,293.51/722,850
  6. Step 6: Final answer
    x = 552,783.59

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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.