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Finding the Fourth Proportional to 497,875.32, 687,040.92 and 282,985.56

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Solution

The fourth proportional to 497,875.32, 687,040.92 and 282,985.56 is: 390,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,875.32 : 687,040.92 = 282,985.56 : x
  2. Step 2: Convert to fraction form
    497,875.32/687,040.92 = 282,985.56/x
  3. Step 3: Cross multiply
    497,875.32x = 687,040.92 × 282,985.56
  4. Step 4: Simplify right side
    497,875.32x = 194,422,659,489.12
  5. Step 5: Solve for x
    x = 194,422,659,489.12/497,875.32
  6. Step 6: Final answer
    x = 390,504.71

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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.