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Finding the Fourth Proportional to 338,428,307.80, 507,642,461.70 and 83,126,675.80

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Solution

The fourth proportional to 338,428,307.80, 507,642,461.70 and 83,126,675.80 is: 124,690,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,428,307.80 : 507,642,461.70 = 83,126,675.80 : x
  2. Step 2: Convert to fraction form
    338,428,307.80/507,642,461.70 = 83,126,675.80/x
  3. Step 3: Cross multiply
    338,428,307.80x = 507,642,461.70 × 83,126,675.80
  4. Step 4: Simplify right side
    338,428,307.80x = 42,198,630,336,049,816
  5. Step 5: Solve for x
    x = 42,198,630,336,049,816/338,428,307.80
  6. Step 6: Final answer
    x = 124,690,013.70

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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.