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Finding the Fourth Proportional to 286,066.47, 394,776.74 and 157,017.02

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Solution

The fourth proportional to 286,066.47, 394,776.74 and 157,017.02 is: 216,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,066.47 : 394,776.74 = 157,017.02 : x
  2. Step 2: Convert to fraction form
    286,066.47/394,776.74 = 157,017.02/x
  3. Step 3: Cross multiply
    286,066.47x = 394,776.74 × 157,017.02
  4. Step 4: Simplify right side
    286,066.47x = 61,986,664,815.55
  5. Step 5: Solve for x
    x = 61,986,664,815.55/286,066.47
  6. Step 6: Final answer
    x = 216,686.23

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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.