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Finding the Fourth Proportional to 387,801.60, 581,702.40 and 261,830.40

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Solution

The fourth proportional to 387,801.60, 581,702.40 and 261,830.40 is: 392,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,801.60 : 581,702.40 = 261,830.40 : x
  2. Step 2: Convert to fraction form
    387,801.60/581,702.40 = 261,830.40/x
  3. Step 3: Cross multiply
    387,801.60x = 581,702.40 × 261,830.40
  4. Step 4: Simplify right side
    387,801.60x = 152,307,372,072.96
  5. Step 5: Solve for x
    x = 152,307,372,072.96/387,801.60
  6. Step 6: Final answer
    x = 392,745.60

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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.