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Finding the Fourth Proportional to 285,066.92, 393,386.54 and 157,742.48

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Solution

The fourth proportional to 285,066.92, 393,386.54 and 157,742.48 is: 217,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,066.92 : 393,386.54 = 157,742.48 : x
  2. Step 2: Convert to fraction form
    285,066.92/393,386.54 = 157,742.48/x
  3. Step 3: Cross multiply
    285,066.92x = 393,386.54 × 157,742.48
  4. Step 4: Simplify right side
    285,066.92x = 62,053,768,418.22
  5. Step 5: Solve for x
    x = 62,053,768,418.22/285,066.92
  6. Step 6: Final answer
    x = 217,681.41

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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.