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Finding the Fourth Proportional to 431,137,367.80, 646,706,051.70 and 158,472,705.40

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Solution

The fourth proportional to 431,137,367.80, 646,706,051.70 and 158,472,705.40 is: 237,709,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,137,367.80 : 646,706,051.70 = 158,472,705.40 : x
  2. Step 2: Convert to fraction form
    431,137,367.80/646,706,051.70 = 158,472,705.40/x
  3. Step 3: Cross multiply
    431,137,367.80x = 646,706,051.70 × 158,472,705.40
  4. Step 4: Simplify right side
    431,137,367.80x = 102,485,257,611,451,280
  5. Step 5: Solve for x
    x = 102,485,257,611,451,280/431,137,367.80
  6. Step 6: Final answer
    x = 237,709,058.10

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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.