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Finding the Fourth Proportional to 421,588, 581,981.16 and 268,830.96

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Solution

The fourth proportional to 421,588, 581,981.16 and 268,830.96 is: 371,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,588 : 581,981.16 = 268,830.96 : x
  2. Step 2: Convert to fraction form
    421,588/581,981.16 = 268,830.96/x
  3. Step 3: Cross multiply
    421,588x = 581,981.16 × 268,830.96
  4. Step 4: Simplify right side
    421,588x = 156,454,553,944.71
  5. Step 5: Solve for x
    x = 156,454,553,944.71/421,588
  6. Step 6: Final answer
    x = 371,107.70

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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.