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Finding the Fourth Proportional to 456,940.80, 684,374.40 and 288,979.20

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Solution

The fourth proportional to 456,940.80, 684,374.40 and 288,979.20 is: 432,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,940.80 : 684,374.40 = 288,979.20 : x
  2. Step 2: Convert to fraction form
    456,940.80/684,374.40 = 288,979.20/x
  3. Step 3: Cross multiply
    456,940.80x = 684,374.40 × 288,979.20
  4. Step 4: Simplify right side
    456,940.80x = 197,769,966,612.48
  5. Step 5: Solve for x
    x = 197,769,966,612.48/456,940.80
  6. Step 6: Final answer
    x = 432,813.11

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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.