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Finding the Fourth Proportional to 305,438.77, 420,010.81 and 265,082.47

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Solution

The fourth proportional to 305,438.77, 420,010.81 and 265,082.47 is: 364,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,438.77 : 420,010.81 = 265,082.47 : x
  2. Step 2: Convert to fraction form
    305,438.77/420,010.81 = 265,082.47/x
  3. Step 3: Cross multiply
    305,438.77x = 420,010.81 × 265,082.47
  4. Step 4: Simplify right side
    305,438.77x = 111,337,502,941.50
  5. Step 5: Solve for x
    x = 111,337,502,941.50/305,438.77
  6. Step 6: Final answer
    x = 364,516.60

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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.