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Finding the Fourth Proportional to 305,446.16, 420,020.97 and 265,089.84

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Solution

The fourth proportional to 305,446.16, 420,020.97 and 265,089.84 is: 364,526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,446.16 : 420,020.97 = 265,089.84 : x
  2. Step 2: Convert to fraction form
    305,446.16/420,020.97 = 265,089.84/x
  3. Step 3: Cross multiply
    305,446.16x = 420,020.97 × 265,089.84
  4. Step 4: Simplify right side
    305,446.16x = 111,343,291,733.95
  5. Step 5: Solve for x
    x = 111,343,291,733.95/305,446.16
  6. Step 6: Final answer
    x = 364,526.74

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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.