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Finding the Fourth Proportional to 673,771,319.20, 1,010,656,978.80 and 411,877,194.40

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Solution

The fourth proportional to 673,771,319.20, 1,010,656,978.80 and 411,877,194.40 is: 617,815,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,771,319.20 : 1,010,656,978.80 = 411,877,194.40 : x
  2. Step 2: Convert to fraction form
    673,771,319.20/1,010,656,978.80 = 411,877,194.40/x
  3. Step 3: Cross multiply
    673,771,319.20x = 1,010,656,978.80 × 411,877,194.40
  4. Step 4: Simplify right side
    673,771,319.20x = 416,266,560,928,924,224
  5. Step 5: Solve for x
    x = 416,266,560,928,924,224/673,771,319.20
  6. Step 6: Final answer
    x = 617,815,791.60

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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.