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Finding the Fourth Proportional to 285,159.69, 393,618.74 and 164,349.13

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Solution

The fourth proportional to 285,159.69, 393,618.74 and 164,349.13 is: 226,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,159.69 : 393,618.74 = 164,349.13 : x
  2. Step 2: Convert to fraction form
    285,159.69/393,618.74 = 164,349.13/x
  3. Step 3: Cross multiply
    285,159.69x = 393,618.74 × 164,349.13
  4. Step 4: Simplify right side
    285,159.69x = 64,690,897,470.70
  5. Step 5: Solve for x
    x = 64,690,897,470.70/285,159.69
  6. Step 6: Final answer
    x = 226,858.49

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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.