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Finding the Fourth Proportional to 511,422.32, 705,503.40 and 390,353.42

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Solution

The fourth proportional to 511,422.32, 705,503.40 and 390,353.42 is: 538,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,422.32 : 705,503.40 = 390,353.42 : x
  2. Step 2: Convert to fraction form
    511,422.32/705,503.40 = 390,353.42/x
  3. Step 3: Cross multiply
    511,422.32x = 705,503.40 × 390,353.42
  4. Step 4: Simplify right side
    511,422.32x = 275,395,665,011.63
  5. Step 5: Solve for x
    x = 275,395,665,011.63/511,422.32
  6. Step 6: Final answer
    x = 538,489.73

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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.