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Finding the Fourth Proportional to 284,710.10, 392,881.23 and 163,831.88

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Solution

The fourth proportional to 284,710.10, 392,881.23 and 163,831.88 is: 226,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,710.10 : 392,881.23 = 163,831.88 : x
  2. Step 2: Convert to fraction form
    284,710.10/392,881.23 = 163,831.88/x
  3. Step 3: Cross multiply
    284,710.10x = 392,881.23 × 163,831.88
  4. Step 4: Simplify right side
    284,710.10x = 64,366,468,563.21
  5. Step 5: Solve for x
    x = 64,366,468,563.21/284,710.10
  6. Step 6: Final answer
    x = 226,077.23

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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.