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Finding the Fourth Proportional to 866,998.42, 1,300,871.30 and 361,658.93

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Solution

The fourth proportional to 866,998.42, 1,300,871.30 and 361,658.93 is: 542,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,998.42 : 1,300,871.30 = 361,658.93 : x
  2. Step 2: Convert to fraction form
    866,998.42/1,300,871.30 = 361,658.93/x
  3. Step 3: Cross multiply
    866,998.42x = 1,300,871.30 × 361,658.93
  4. Step 4: Simplify right side
    866,998.42x = 470,471,714,113.06
  5. Step 5: Solve for x
    x = 470,471,714,113.06/866,998.42
  6. Step 6: Final answer
    x = 542,644.26

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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.