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Finding the Fourth Proportional to 368,845.92, 509,002.35 and 207,702.90

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Solution

The fourth proportional to 368,845.92, 509,002.35 and 207,702.90 is: 286,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,845.92 : 509,002.35 = 207,702.90 : x
  2. Step 2: Convert to fraction form
    368,845.92/509,002.35 = 207,702.90/x
  3. Step 3: Cross multiply
    368,845.92x = 509,002.35 × 207,702.90
  4. Step 4: Simplify right side
    368,845.92x = 105,721,264,201.82
  5. Step 5: Solve for x
    x = 105,721,264,201.82/368,845.92
  6. Step 6: Final answer
    x = 286,627.18

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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.