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Finding the Fourth Proportional to 305,465.19, 421,521.71 and 169,490.52

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Solution

The fourth proportional to 305,465.19, 421,521.71 and 169,490.52 is: 233,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,465.19 : 421,521.71 = 169,490.52 : x
  2. Step 2: Convert to fraction form
    305,465.19/421,521.71 = 169,490.52/x
  3. Step 3: Cross multiply
    305,465.19x = 421,521.71 × 169,490.52
  4. Step 4: Simplify right side
    305,465.19x = 71,443,932,971.74
  5. Step 5: Solve for x
    x = 71,443,932,971.74/305,465.19
  6. Step 6: Final answer
    x = 233,885.68

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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.