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Finding the Fourth Proportional to 407,477.30, 562,292 and 226,180.40

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Solution

The fourth proportional to 407,477.30, 562,292 and 226,180.40 is: 312,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,477.30 : 562,292 = 226,180.40 : x
  2. Step 2: Convert to fraction form
    407,477.30/562,292 = 226,180.40/x
  3. Step 3: Cross multiply
    407,477.30x = 562,292 × 226,180.40
  4. Step 4: Simplify right side
    407,477.30x = 127,179,429,476.80
  5. Step 5: Solve for x
    x = 127,179,429,476.80/407,477.30
  6. Step 6: Final answer
    x = 312,114.15

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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.