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Finding the Fourth Proportional to 511,420.32, 705,500.64 and 390,351.42

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Solution

The fourth proportional to 511,420.32, 705,500.64 and 390,351.42 is: 538,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,420.32 : 705,500.64 = 390,351.42 : x
  2. Step 2: Convert to fraction form
    511,420.32/705,500.64 = 390,351.42/x
  3. Step 3: Cross multiply
    511,420.32x = 705,500.64 × 390,351.42
  4. Step 4: Simplify right side
    511,420.32x = 275,393,176,634.91
  5. Step 5: Solve for x
    x = 275,393,176,634.91/511,420.32
  6. Step 6: Final answer
    x = 538,486.97

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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.