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Finding the Fourth Proportional to 512,267.79, 706,926.25 and 282,839.38

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Solution

The fourth proportional to 512,267.79, 706,926.25 and 282,839.38 is: 390,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,267.79 : 706,926.25 = 282,839.38 : x
  2. Step 2: Convert to fraction form
    512,267.79/706,926.25 = 282,839.38/x
  3. Step 3: Cross multiply
    512,267.79x = 706,926.25 × 282,839.38
  4. Step 4: Simplify right side
    512,267.79x = 199,946,580,841.96
  5. Step 5: Solve for x
    x = 199,946,580,841.96/512,267.79
  6. Step 6: Final answer
    x = 390,316.52

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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.