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Finding the Fourth Proportional to 407,719.32, 611,336.70 and 155,018.30

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Solution

The fourth proportional to 407,719.32, 611,336.70 and 155,018.30 is: 232,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,719.32 : 611,336.70 = 155,018.30 : x
  2. Step 2: Convert to fraction form
    407,719.32/611,336.70 = 155,018.30/x
  3. Step 3: Cross multiply
    407,719.32x = 611,336.70 × 155,018.30
  4. Step 4: Simplify right side
    407,719.32x = 94,768,372,904.93
  5. Step 5: Solve for x
    x = 94,768,372,904.93/407,719.32
  6. Step 6: Final answer
    x = 232,435.33

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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.