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Finding the Fourth Proportional to 386,468.40, 579,702.60 and 260,497.20

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Solution

The fourth proportional to 386,468.40, 579,702.60 and 260,497.20 is: 390,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,468.40 : 579,702.60 = 260,497.20 : x
  2. Step 2: Convert to fraction form
    386,468.40/579,702.60 = 260,497.20/x
  3. Step 3: Cross multiply
    386,468.40x = 579,702.60 × 260,497.20
  4. Step 4: Simplify right side
    386,468.40x = 151,010,904,132.72
  5. Step 5: Solve for x
    x = 151,010,904,132.72/386,468.40
  6. Step 6: Final answer
    x = 390,745.80

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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.