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Finding the Fourth Proportional to 284,461.56, 392,568.84 and 163,602.90

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Solution

The fourth proportional to 284,461.56, 392,568.84 and 163,602.90 is: 225,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,461.56 : 392,568.84 = 163,602.90 : x
  2. Step 2: Convert to fraction form
    284,461.56/392,568.84 = 163,602.90/x
  3. Step 3: Cross multiply
    284,461.56x = 392,568.84 × 163,602.90
  4. Step 4: Simplify right side
    284,461.56x = 64,225,400,673.64
  5. Step 5: Solve for x
    x = 64,225,400,673.64/284,461.56
  6. Step 6: Final answer
    x = 225,778.84

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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.