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Finding the Fourth Proportional to 285,070.16, 393,400.32 and 157,757.60

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Solution

The fourth proportional to 285,070.16, 393,400.32 and 157,757.60 is: 217,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,070.16 : 393,400.32 = 157,757.60 : x
  2. Step 2: Convert to fraction form
    285,070.16/393,400.32 = 157,757.60/x
  3. Step 3: Cross multiply
    285,070.16x = 393,400.32 × 157,757.60
  4. Step 4: Simplify right side
    285,070.16x = 62,061,890,322.43
  5. Step 5: Solve for x
    x = 62,061,890,322.43/285,070.16
  6. Step 6: Final answer
    x = 217,707.42

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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.