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Finding the Fourth Proportional to 512,189.72, 706,803.29 and 282,742.08

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Solution

The fourth proportional to 512,189.72, 706,803.29 and 282,742.08 is: 390,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,189.72 : 706,803.29 = 282,742.08 : x
  2. Step 2: Convert to fraction form
    512,189.72/706,803.29 = 282,742.08/x
  3. Step 3: Cross multiply
    512,189.72x = 706,803.29 × 282,742.08
  4. Step 4: Simplify right side
    512,189.72x = 199,843,033,337.27
  5. Step 5: Solve for x
    x = 199,843,033,337.27/512,189.72
  6. Step 6: Final answer
    x = 390,173.85

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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.