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Finding the Fourth Proportional to 515,866,940.82, 773,919,952.85 and 147,406,692.06

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Solution

The fourth proportional to 515,866,940.82, 773,919,952.85 and 147,406,692.06 is: 221,144,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,866,940.82 : 773,919,952.85 = 147,406,692.06 : x
  2. Step 2: Convert to fraction form
    515,866,940.82/773,919,952.85 = 147,406,692.06/x
  3. Step 3: Cross multiply
    515,866,940.82x = 773,919,952.85 × 147,406,692.06
  4. Step 4: Simplify right side
    515,866,940.82x = 114,080,980,169,218,176
  5. Step 5: Solve for x
    x = 114,080,980,169,218,176/515,866,940.82
  6. Step 6: Final answer
    x = 221,144,196.58

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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.