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Finding the Fourth Proportional to 432,064.80, 648,097.20 and 274,406.40

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Solution

The fourth proportional to 432,064.80, 648,097.20 and 274,406.40 is: 411,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,064.80 : 648,097.20 = 274,406.40 : x
  2. Step 2: Convert to fraction form
    432,064.80/648,097.20 = 274,406.40/x
  3. Step 3: Cross multiply
    432,064.80x = 648,097.20 × 274,406.40
  4. Step 4: Simplify right side
    432,064.80x = 177,842,019,502.08
  5. Step 5: Solve for x
    x = 177,842,019,502.08/432,064.80
  6. Step 6: Final answer
    x = 411,609.60

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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.