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Finding the Fourth Proportional to 399,280.32, 551,012.16 and 217,990.16

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Solution

The fourth proportional to 399,280.32, 551,012.16 and 217,990.16 is: 300,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,280.32 : 551,012.16 = 217,990.16 : x
  2. Step 2: Convert to fraction form
    399,280.32/551,012.16 = 217,990.16/x
  3. Step 3: Cross multiply
    399,280.32x = 551,012.16 × 217,990.16
  4. Step 4: Simplify right side
    399,280.32x = 120,115,228,920.35
  5. Step 5: Solve for x
    x = 120,115,228,920.35/399,280.32
  6. Step 6: Final answer
    x = 300,829.32

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1.5x scale

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.