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Finding the Fourth Proportional to 421,428.42, 581,408.69 and 260,003.52

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Solution

The fourth proportional to 421,428.42, 581,408.69 and 260,003.52 is: 358,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,428.42 : 581,408.69 = 260,003.52 : x
  2. Step 2: Convert to fraction form
    421,428.42/581,408.69 = 260,003.52/x
  3. Step 3: Cross multiply
    421,428.42x = 581,408.69 × 260,003.52
  4. Step 4: Simplify right side
    421,428.42x = 151,168,304,658.57
  5. Step 5: Solve for x
    x = 151,168,304,658.57/421,428.42
  6. Step 6: Final answer
    x = 358,704.58

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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.