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Finding the Fourth Proportional to 284,175.84, 392,175.72 and 163,356.24

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Solution

The fourth proportional to 284,175.84, 392,175.72 and 163,356.24 is: 225,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,175.84 : 392,175.72 = 163,356.24 : x
  2. Step 2: Convert to fraction form
    284,175.84/392,175.72 = 163,356.24/x
  3. Step 3: Cross multiply
    284,175.84x = 392,175.72 × 163,356.24
  4. Step 4: Simplify right side
    284,175.84x = 64,064,351,038.49
  5. Step 5: Solve for x
    x = 64,064,351,038.49/284,175.84
  6. Step 6: Final answer
    x = 225,439.12

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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.