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Finding the Fourth Proportional to 431,137,985.90, 646,706,978.85 and 124,440,104.30

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Solution

The fourth proportional to 431,137,985.90, 646,706,978.85 and 124,440,104.30 is: 186,660,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,137,985.90 : 646,706,978.85 = 124,440,104.30 : x
  2. Step 2: Convert to fraction form
    431,137,985.90/646,706,978.85 = 124,440,104.30/x
  3. Step 3: Cross multiply
    431,137,985.90x = 646,706,978.85 × 124,440,104.30
  4. Step 4: Simplify right side
    431,137,985.90x = 80,476,283,899,631,888
  5. Step 5: Solve for x
    x = 80,476,283,899,631,888/431,137,985.90
  6. Step 6: Final answer
    x = 186,660,156.45

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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.