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Finding the Fourth Proportional to 686,810,843.65, 948,045,498.92 and 408,351,702.88

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Solution

The fourth proportional to 686,810,843.65, 948,045,498.92 and 408,351,702.88 is: 563,671,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,810,843.65 : 948,045,498.92 = 408,351,702.88 : x
  2. Step 2: Convert to fraction form
    686,810,843.65/948,045,498.92 = 408,351,702.88/x
  3. Step 3: Cross multiply
    686,810,843.65x = 948,045,498.92 × 408,351,702.88
  4. Step 4: Simplify right side
    686,810,843.65x = 387,135,993,891,701,184
  5. Step 5: Solve for x
    x = 387,135,993,891,701,184/686,810,843.65
  6. Step 6: Final answer
    x = 563,671,930.16

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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.