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Finding the Fourth Proportional to 284,281, 392,307.68 and 163,445.92

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Solution

The fourth proportional to 284,281, 392,307.68 and 163,445.92 is: 225,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,281 : 392,307.68 = 163,445.92 : x
  2. Step 2: Convert to fraction form
    284,281/392,307.68 = 163,445.92/x
  3. Step 3: Cross multiply
    284,281x = 392,307.68 × 163,445.92
  4. Step 4: Simplify right side
    284,281x = 64,121,089,680.67
  5. Step 5: Solve for x
    x = 64,121,089,680.67/284,281
  6. Step 6: Final answer
    x = 225,555.31

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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.