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Finding the Fourth Proportional to 512,679.84, 707,412.24 and 286,326.24

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Solution

The fourth proportional to 512,679.84, 707,412.24 and 286,326.24 is: 395,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,679.84 : 707,412.24 = 286,326.24 : x
  2. Step 2: Convert to fraction form
    512,679.84/707,412.24 = 286,326.24/x
  3. Step 3: Cross multiply
    512,679.84x = 707,412.24 × 286,326.24
  4. Step 4: Simplify right side
    512,679.84x = 202,550,686,809.18
  5. Step 5: Solve for x
    x = 202,550,686,809.18/512,679.84
  6. Step 6: Final answer
    x = 395,082.22

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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.