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Finding the Fourth Proportional to 612,812,020.50, 845,941,530.84 and 411,985,367.01

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Solution

The fourth proportional to 612,812,020.50, 845,941,530.84 and 411,985,367.01 is: 568,715,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,812,020.50 : 845,941,530.84 = 411,985,367.01 : x
  2. Step 2: Convert to fraction form
    612,812,020.50/845,941,530.84 = 411,985,367.01/x
  3. Step 3: Cross multiply
    612,812,020.50x = 845,941,530.84 × 411,985,367.01
  4. Step 4: Simplify right side
    612,812,020.50x = 348,515,532,052,118,656
  5. Step 5: Solve for x
    x = 348,515,532,052,118,656/612,812,020.50
  6. Step 6: Final answer
    x = 568,715,234.68

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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.