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Finding the Fourth Proportional to 527,721,751.60, 728,255,734.86 and 289,568,499.80

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Solution

The fourth proportional to 527,721,751.60, 728,255,734.86 and 289,568,499.80 is: 399,604,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,721,751.60 : 728,255,734.86 = 289,568,499.80 : x
  2. Step 2: Convert to fraction form
    527,721,751.60/728,255,734.86 = 289,568,499.80/x
  3. Step 3: Cross multiply
    527,721,751.60x = 728,255,734.86 × 289,568,499.80
  4. Step 4: Simplify right side
    527,721,751.60x = 210,879,920,614,156,768
  5. Step 5: Solve for x
    x = 210,879,920,614,156,768/527,721,751.60
  6. Step 6: Final answer
    x = 399,604,374.80

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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.