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Finding the Fourth Proportional to 421,433.16, 581,559.39 and 240,184.32

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Solution

The fourth proportional to 421,433.16, 581,559.39 and 240,184.32 is: 331,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,433.16 : 581,559.39 = 240,184.32 : x
  2. Step 2: Convert to fraction form
    421,433.16/581,559.39 = 240,184.32/x
  3. Step 3: Cross multiply
    421,433.16x = 581,559.39 × 240,184.32
  4. Step 4: Simplify right side
    421,433.16x = 139,681,446,626.77
  5. Step 5: Solve for x
    x = 139,681,446,626.77/421,433.16
  6. Step 6: Final answer
    x = 331,443.89

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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.