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Finding the Fourth Proportional to 286,702.86, 395,660.10 and 157,651.16

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Solution

The fourth proportional to 286,702.86, 395,660.10 and 157,651.16 is: 217,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,702.86 : 395,660.10 = 157,651.16 : x
  2. Step 2: Convert to fraction form
    286,702.86/395,660.10 = 157,651.16/x
  3. Step 3: Cross multiply
    286,702.86x = 395,660.10 × 157,651.16
  4. Step 4: Simplify right side
    286,702.86x = 62,376,271,752.42
  5. Step 5: Solve for x
    x = 62,376,271,752.42/286,702.86
  6. Step 6: Final answer
    x = 217,564.18

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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.