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Finding the Fourth Proportional to 284,378.40, 392,465.40 and 163,558.80

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Solution

The fourth proportional to 284,378.40, 392,465.40 and 163,558.80 is: 225,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,378.40 : 392,465.40 = 163,558.80 : x
  2. Step 2: Convert to fraction form
    284,378.40/392,465.40 = 163,558.80/x
  3. Step 3: Cross multiply
    284,378.40x = 392,465.40 × 163,558.80
  4. Step 4: Simplify right side
    284,378.40x = 64,191,169,865.52
  5. Step 5: Solve for x
    x = 64,191,169,865.52/284,378.40
  6. Step 6: Final answer
    x = 225,724.49

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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.