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Finding the Fourth Proportional to 511,137.04, 705,373.92 and 281,702.68

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Solution

The fourth proportional to 511,137.04, 705,373.92 and 281,702.68 is: 388,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,137.04 : 705,373.92 = 281,702.68 : x
  2. Step 2: Convert to fraction form
    511,137.04/705,373.92 = 281,702.68/x
  3. Step 3: Cross multiply
    511,137.04x = 705,373.92 × 281,702.68
  4. Step 4: Simplify right side
    511,137.04x = 198,705,723,666.11
  5. Step 5: Solve for x
    x = 198,705,723,666.11/511,137.04
  6. Step 6: Final answer
    x = 388,752.35

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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.