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Finding the Fourth Proportional to 285,158.69, 393,617.36 and 164,348.13

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Solution

The fourth proportional to 285,158.69, 393,617.36 and 164,348.13 is: 226,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,158.69 : 393,617.36 = 164,348.13 : x
  2. Step 2: Convert to fraction form
    285,158.69/393,617.36 = 164,348.13/x
  3. Step 3: Cross multiply
    285,158.69x = 393,617.36 × 164,348.13
  4. Step 4: Simplify right side
    285,158.69x = 64,690,277,462.41
  5. Step 5: Solve for x
    x = 64,690,277,462.41/285,158.69
  6. Step 6: Final answer
    x = 226,857.12

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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.