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Finding the Fourth Proportional to 704,533,567.82, 972,229,655.67 and 391,287,950.78

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Solution

The fourth proportional to 704,533,567.82, 972,229,655.67 and 391,287,950.78 is: 539,962,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,533,567.82 : 972,229,655.67 = 391,287,950.78 : x
  2. Step 2: Convert to fraction form
    704,533,567.82/972,229,655.67 = 391,287,950.78/x
  3. Step 3: Cross multiply
    704,533,567.82x = 972,229,655.67 × 391,287,950.78
  4. Step 4: Simplify right side
    704,533,567.82x = 380,421,749,654,659,264
  5. Step 5: Solve for x
    x = 380,421,749,654,659,264/704,533,567.82
  6. Step 6: Final answer
    x = 539,962,561.09

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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.