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Finding the Fourth Proportional to 284,515.70, 392,643.06 and 163,656.95

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Solution

The fourth proportional to 284,515.70, 392,643.06 and 163,656.95 is: 225,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,515.70 : 392,643.06 = 163,656.95 : x
  2. Step 2: Convert to fraction form
    284,515.70/392,643.06 = 163,656.95/x
  3. Step 3: Cross multiply
    284,515.70x = 392,643.06 × 163,656.95
  4. Step 4: Simplify right side
    284,515.70x = 64,258,765,638.27
  5. Step 5: Solve for x
    x = 64,258,765,638.27/284,515.70
  6. Step 6: Final answer
    x = 225,853.14

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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.