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Finding the Fourth Proportional to 285,697.09, 428,411.35 and 105,658.21

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Solution

The fourth proportional to 285,697.09, 428,411.35 and 105,658.21 is: 158,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,697.09 : 428,411.35 = 105,658.21 : x
  2. Step 2: Convert to fraction form
    285,697.09/428,411.35 = 105,658.21/x
  3. Step 3: Cross multiply
    285,697.09x = 428,411.35 × 105,658.21
  4. Step 4: Simplify right side
    285,697.09x = 45,265,176,384.68
  5. Step 5: Solve for x
    x = 45,265,176,384.68/285,697.09
  6. Step 6: Final answer
    x = 158,437.65

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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.