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Finding the Fourth Proportional to 286,733.66, 395,702.55 and 157,681.94

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Solution

The fourth proportional to 286,733.66, 395,702.55 and 157,681.94 is: 217,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,733.66 : 395,702.55 = 157,681.94 : x
  2. Step 2: Convert to fraction form
    286,733.66/395,702.55 = 157,681.94/x
  3. Step 3: Cross multiply
    286,733.66x = 395,702.55 × 157,681.94
  4. Step 4: Simplify right side
    286,733.66x = 62,395,143,768.43
  5. Step 5: Solve for x
    x = 62,395,143,768.43/286,733.66
  6. Step 6: Final answer
    x = 217,606.63

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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.