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Finding the Fourth Proportional to 285,649.32, 428,511.22 and 105,710.24

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Solution

The fourth proportional to 285,649.32, 428,511.22 and 105,710.24 is: 158,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,649.32 : 428,511.22 = 105,710.24 : x
  2. Step 2: Convert to fraction form
    285,649.32/428,511.22 = 105,710.24/x
  3. Step 3: Cross multiply
    285,649.32x = 428,511.22 × 105,710.24
  4. Step 4: Simplify right side
    285,649.32x = 45,298,023,908.89
  5. Step 5: Solve for x
    x = 45,298,023,908.89/285,649.32
  6. Step 6: Final answer
    x = 158,579.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.