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Finding the Fourth Proportional to 511,158.38, 705,518.81 and 317,712.21

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Solution

The fourth proportional to 511,158.38, 705,518.81 and 317,712.21 is: 438,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,158.38 : 705,518.81 = 317,712.21 : x
  2. Step 2: Convert to fraction form
    511,158.38/705,518.81 = 317,712.21/x
  3. Step 3: Cross multiply
    511,158.38x = 705,518.81 × 317,712.21
  4. Step 4: Simplify right side
    511,158.38x = 224,151,938,733.11
  5. Step 5: Solve for x
    x = 224,151,938,733.11/511,158.38
  6. Step 6: Final answer
    x = 438,517.59

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Double scale
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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.