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Finding the Fourth Proportional to 284,064.17, 392,020.16 and 163,243.35

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Solution

The fourth proportional to 284,064.17, 392,020.16 and 163,243.35 is: 225,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,064.17 : 392,020.16 = 163,243.35 : x
  2. Step 2: Convert to fraction form
    284,064.17/392,020.16 = 163,243.35/x
  3. Step 3: Cross multiply
    284,064.17x = 392,020.16 × 163,243.35
  4. Step 4: Simplify right side
    284,064.17x = 63,994,683,369.72
  5. Step 5: Solve for x
    x = 63,994,683,369.72/284,064.17
  6. Step 6: Final answer
    x = 225,282.49

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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.