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Finding the Fourth Proportional to 285,148.66, 393,503.70 and 157,823.92

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Solution

The fourth proportional to 285,148.66, 393,503.70 and 157,823.92 is: 217,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,148.66 : 393,503.70 = 157,823.92 : x
  2. Step 2: Convert to fraction form
    285,148.66/393,503.70 = 157,823.92/x
  3. Step 3: Cross multiply
    285,148.66x = 393,503.70 × 157,823.92
  4. Step 4: Simplify right side
    285,148.66x = 62,104,296,468.50
  5. Step 5: Solve for x
    x = 62,104,296,468.50/285,148.66
  6. Step 6: Final answer
    x = 217,796.21

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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.