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Finding the Fourth Proportional to 287,065.94, 430,601.07 and 109,525.22

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Solution

The fourth proportional to 287,065.94, 430,601.07 and 109,525.22 is: 164,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,065.94 : 430,601.07 = 109,525.22 : x
  2. Step 2: Convert to fraction form
    287,065.94/430,601.07 = 109,525.22/x
  3. Step 3: Cross multiply
    287,065.94x = 430,601.07 × 109,525.22
  4. Step 4: Simplify right side
    287,065.94x = 47,161,676,923.99
  5. Step 5: Solve for x
    x = 47,161,676,923.99/287,065.94
  6. Step 6: Final answer
    x = 164,288.65

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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.