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Finding the Fourth Proportional to 421,308, 581,404.95 and 230,321.34

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Solution

The fourth proportional to 421,308, 581,404.95 and 230,321.34 is: 317,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,308 : 581,404.95 = 230,321.34 : x
  2. Step 2: Convert to fraction form
    421,308/581,404.95 = 230,321.34/x
  3. Step 3: Cross multiply
    421,308x = 581,404.95 × 230,321.34
  4. Step 4: Simplify right side
    421,308x = 133,909,967,166.63
  5. Step 5: Solve for x
    x = 133,909,967,166.63/421,308
  6. Step 6: Final answer
    x = 317,843.40

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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.