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Finding the Fourth Proportional to 512,622.06, 707,417.91 and 286,267.74

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Solution

The fourth proportional to 512,622.06, 707,417.91 and 286,267.74 is: 395,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,622.06 : 707,417.91 = 286,267.74 : x
  2. Step 2: Convert to fraction form
    512,622.06/707,417.91 = 286,267.74/x
  3. Step 3: Cross multiply
    512,622.06x = 707,417.91 × 286,267.74
  4. Step 4: Simplify right side
    512,622.06x = 202,510,926,331.22
  5. Step 5: Solve for x
    x = 202,510,926,331.22/512,622.06
  6. Step 6: Final answer
    x = 395,049.18

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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.