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Finding the Fourth Proportional to 305,307.23, 421,349.85 and 169,384.91

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Solution

The fourth proportional to 305,307.23, 421,349.85 and 169,384.91 is: 233,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,307.23 : 421,349.85 = 169,384.91 : x
  2. Step 2: Convert to fraction form
    305,307.23/421,349.85 = 169,384.91/x
  3. Step 3: Cross multiply
    305,307.23x = 421,349.85 × 169,384.91
  4. Step 4: Simplify right side
    305,307.23x = 71,370,304,314.01
  5. Step 5: Solve for x
    x = 71,370,304,314.01/305,307.23
  6. Step 6: Final answer
    x = 233,765.53

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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.