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Finding the Fourth Proportional to 468,048.80, 645,779.04 and 298,143.20

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Solution

The fourth proportional to 468,048.80, 645,779.04 and 298,143.20 is: 411,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,048.80 : 645,779.04 = 298,143.20 : x
  2. Step 2: Convert to fraction form
    468,048.80/645,779.04 = 298,143.20/x
  3. Step 3: Cross multiply
    468,048.80x = 645,779.04 × 298,143.20
  4. Step 4: Simplify right side
    468,048.80x = 192,534,629,478.53
  5. Step 5: Solve for x
    x = 192,534,629,478.53/468,048.80
  6. Step 6: Final answer
    x = 411,355.89

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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.