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Finding the Fourth Proportional to 666,761.60, 920,123.52 and 364,952

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Solution

The fourth proportional to 666,761.60, 920,123.52 and 364,952 is: 503,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,761.60 : 920,123.52 = 364,952 : x
  2. Step 2: Convert to fraction form
    666,761.60/920,123.52 = 364,952/x
  3. Step 3: Cross multiply
    666,761.60x = 920,123.52 × 364,952
  4. Step 4: Simplify right side
    666,761.60x = 335,800,918,871.04
  5. Step 5: Solve for x
    x = 335,800,918,871.04/666,761.60
  6. Step 6: Final answer
    x = 503,629.66

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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.