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Finding the Fourth Proportional to 228,053.56, 314,826.10 and 143,217.40

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Solution

The fourth proportional to 228,053.56, 314,826.10 and 143,217.40 is: 197,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,053.56 : 314,826.10 = 143,217.40 : x
  2. Step 2: Convert to fraction form
    228,053.56/314,826.10 = 143,217.40/x
  3. Step 3: Cross multiply
    228,053.56x = 314,826.10 × 143,217.40
  4. Step 4: Simplify right side
    228,053.56x = 45,088,575,494.14
  5. Step 5: Solve for x
    x = 45,088,575,494.14/228,053.56
  6. Step 6: Final answer
    x = 197,710.47

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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.