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Finding the Fourth Proportional to 407,009.52, 561,573 and 243,719.64

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Solution

The fourth proportional to 407,009.52, 561,573 and 243,719.64 is: 336,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,009.52 : 561,573 = 243,719.64 : x
  2. Step 2: Convert to fraction form
    407,009.52/561,573 = 243,719.64/x
  3. Step 3: Cross multiply
    407,009.52x = 561,573 × 243,719.64
  4. Step 4: Simplify right side
    407,009.52x = 136,866,369,393.72
  5. Step 5: Solve for x
    x = 136,866,369,393.72/407,009.52
  6. Step 6: Final answer
    x = 336,273.14

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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.