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Finding the Fourth Proportional to 225,605.32, 311,218.88 and 152,983.66

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Solution

The fourth proportional to 225,605.32, 311,218.88 and 152,983.66 is: 211,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,605.32 : 311,218.88 = 152,983.66 : x
  2. Step 2: Convert to fraction form
    225,605.32/311,218.88 = 152,983.66/x
  3. Step 3: Cross multiply
    225,605.32x = 311,218.88 × 152,983.66
  4. Step 4: Simplify right side
    225,605.32x = 47,611,403,323.50
  5. Step 5: Solve for x
    x = 47,611,403,323.50/225,605.32
  6. Step 6: Final answer
    x = 211,038.48

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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.