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Finding the Fourth Proportional to 824,200.80, 1,235,710.80 and 318,328.80

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Solution

The fourth proportional to 824,200.80, 1,235,710.80 and 318,328.80 is: 477,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,200.80 : 1,235,710.80 = 318,328.80 : x
  2. Step 2: Convert to fraction form
    824,200.80/1,235,710.80 = 318,328.80/x
  3. Step 3: Cross multiply
    824,200.80x = 1,235,710.80 × 318,328.80
  4. Step 4: Simplify right side
    824,200.80x = 393,362,336,111.04
  5. Step 5: Solve for x
    x = 393,362,336,111.04/824,200.80
  6. Step 6: Final answer
    x = 477,265.17

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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.