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Finding the Fourth Proportional to 479,962.16, 720,098.80 and 164,421.84

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Solution

The fourth proportional to 479,962.16, 720,098.80 and 164,421.84 is: 246,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,962.16 : 720,098.80 = 164,421.84 : x
  2. Step 2: Convert to fraction form
    479,962.16/720,098.80 = 164,421.84/x
  3. Step 3: Cross multiply
    479,962.16x = 720,098.80 × 164,421.84
  4. Step 4: Simplify right side
    479,962.16x = 118,399,969,677.79
  5. Step 5: Solve for x
    x = 118,399,969,677.79/479,962.16
  6. Step 6: Final answer
    x = 246,686.05

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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.