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Finding the Fourth Proportional to 512,448.41, 707,180.01 and 283,001.51

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Solution

The fourth proportional to 512,448.41, 707,180.01 and 283,001.51 is: 390,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,448.41 : 707,180.01 = 283,001.51 : x
  2. Step 2: Convert to fraction form
    512,448.41/707,180.01 = 283,001.51/x
  3. Step 3: Cross multiply
    512,448.41x = 707,180.01 × 283,001.51
  4. Step 4: Simplify right side
    512,448.41x = 200,133,011,378.51
  5. Step 5: Solve for x
    x = 200,133,011,378.51/512,448.41
  6. Step 6: Final answer
    x = 390,542.75

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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.