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Finding the Fourth Proportional to 286,902.80, 395,925.86 and 157,838.50

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Solution

The fourth proportional to 286,902.80, 395,925.86 and 157,838.50 is: 217,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,902.80 : 395,925.86 = 157,838.50 : x
  2. Step 2: Convert to fraction form
    286,902.80/395,925.86 = 157,838.50/x
  3. Step 3: Cross multiply
    286,902.80x = 395,925.86 × 157,838.50
  4. Step 4: Simplify right side
    286,902.80x = 62,492,344,743.11
  5. Step 5: Solve for x
    x = 62,492,344,743.11/286,902.80
  6. Step 6: Final answer
    x = 217,817.13

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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.