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Finding the Fourth Proportional to 786,980.80, 1,180,957.20 and 313,616.80

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Solution

The fourth proportional to 786,980.80, 1,180,957.20 and 313,616.80 is: 470,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,980.80 : 1,180,957.20 = 313,616.80 : x
  2. Step 2: Convert to fraction form
    786,980.80/1,180,957.20 = 313,616.80/x
  3. Step 3: Cross multiply
    786,980.80x = 1,180,957.20 × 313,616.80
  4. Step 4: Simplify right side
    786,980.80x = 370,368,018,000.96
  5. Step 5: Solve for x
    x = 370,368,018,000.96/786,980.80
  6. Step 6: Final answer
    x = 470,618.87

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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.