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Finding the Fourth Proportional to 284,281.51, 392,308.35 and 163,446.40

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Solution

The fourth proportional to 284,281.51, 392,308.35 and 163,446.40 is: 225,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,281.51 : 392,308.35 = 163,446.40 : x
  2. Step 2: Convert to fraction form
    284,281.51/392,308.35 = 163,446.40/x
  3. Step 3: Cross multiply
    284,281.51x = 392,308.35 × 163,446.40
  4. Step 4: Simplify right side
    284,281.51x = 64,121,387,497.44
  5. Step 5: Solve for x
    x = 64,121,387,497.44/284,281.51
  6. Step 6: Final answer
    x = 225,555.96

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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.