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Finding the Fourth Proportional to 512,848.32, 707,695.28 and 283,403.44

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Solution

The fourth proportional to 512,848.32, 707,695.28 and 283,403.44 is: 391,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,848.32 : 707,695.28 = 283,403.44 : x
  2. Step 2: Convert to fraction form
    512,848.32/707,695.28 = 283,403.44/x
  3. Step 3: Cross multiply
    512,848.32x = 707,695.28 × 283,403.44
  4. Step 4: Simplify right side
    512,848.32x = 200,563,276,823.76
  5. Step 5: Solve for x
    x = 200,563,276,823.76/512,848.32
  6. Step 6: Final answer
    x = 391,077.18

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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.