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Finding the Fourth Proportional to 286,708.18, 395,667.42 and 157,656.46

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Solution

The fourth proportional to 286,708.18, 395,667.42 and 157,656.46 is: 217,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,708.18 : 395,667.42 = 157,656.46 : x
  2. Step 2: Convert to fraction form
    286,708.18/395,667.42 = 157,656.46/x
  3. Step 3: Cross multiply
    286,708.18x = 395,667.42 × 157,656.46
  4. Step 4: Simplify right side
    286,708.18x = 62,379,524,774.53
  5. Step 5: Solve for x
    x = 62,379,524,774.53/286,708.18
  6. Step 6: Final answer
    x = 217,571.49

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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.