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Finding the Fourth Proportional to 284,745, 392,935.65 and 163,890.17

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Solution

The fourth proportional to 284,745, 392,935.65 and 163,890.17 is: 226,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,745 : 392,935.65 = 163,890.17 : x
  2. Step 2: Convert to fraction form
    284,745/392,935.65 = 163,890.17/x
  3. Step 3: Cross multiply
    284,745x = 392,935.65 × 163,890.17
  4. Step 4: Simplify right side
    284,745x = 64,398,290,477.56
  5. Step 5: Solve for x
    x = 64,398,290,477.56/284,745
  6. Step 6: Final answer
    x = 226,161.27

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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.