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Finding the Fourth Proportional to 287,753.96, 431,570.46 and 77,393.72

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Solution

The fourth proportional to 287,753.96, 431,570.46 and 77,393.72 is: 116,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,753.96 : 431,570.46 = 77,393.72 : x
  2. Step 2: Convert to fraction form
    287,753.96/431,570.46 = 77,393.72/x
  3. Step 3: Cross multiply
    287,753.96x = 431,570.46 × 77,393.72
  4. Step 4: Simplify right side
    287,753.96x = 33,400,843,341.51
  5. Step 5: Solve for x
    x = 33,400,843,341.51/287,753.96
  6. Step 6: Final answer
    x = 116,074.31

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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.