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Finding the Fourth Proportional to 612,812,002.50, 845,941,505.92 and 411,985,349.10

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Solution

The fourth proportional to 612,812,002.50, 845,941,505.92 and 411,985,349.10 is: 568,715,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,812,002.50 : 845,941,505.92 = 411,985,349.10 : x
  2. Step 2: Convert to fraction form
    612,812,002.50/845,941,505.92 = 411,985,349.10/x
  3. Step 3: Cross multiply
    612,812,002.50x = 845,941,505.92 × 411,985,349.10
  4. Step 4: Simplify right side
    612,812,002.50x = 348,515,506,634,630,912
  5. Step 5: Solve for x
    x = 348,515,506,634,630,912/612,812,002.50
  6. Step 6: Final answer
    x = 568,715,209.91

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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.