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Finding the Fourth Proportional to 386,468.60, 579,702.90 and 342,145.40

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Solution

The fourth proportional to 386,468.60, 579,702.90 and 342,145.40 is: 513,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,468.60 : 579,702.90 = 342,145.40 : x
  2. Step 2: Convert to fraction form
    386,468.60/579,702.90 = 342,145.40/x
  3. Step 3: Cross multiply
    386,468.60x = 579,702.90 × 342,145.40
  4. Step 4: Simplify right side
    386,468.60x = 198,342,680,601.66
  5. Step 5: Solve for x
    x = 198,342,680,601.66/386,468.60
  6. Step 6: Final answer
    x = 513,218.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.