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Finding the Fourth Proportional to 480,864.86, 721,362.90 and 200,316.50

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Solution

The fourth proportional to 480,864.86, 721,362.90 and 200,316.50 is: 300,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,864.86 : 721,362.90 = 200,316.50 : x
  2. Step 2: Convert to fraction form
    480,864.86/721,362.90 = 200,316.50/x
  3. Step 3: Cross multiply
    480,864.86x = 721,362.90 × 200,316.50
  4. Step 4: Simplify right side
    480,864.86x = 144,500,891,357.85
  5. Step 5: Solve for x
    x = 144,500,891,357.85/480,864.86
  6. Step 6: Final answer
    x = 300,502.08

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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.