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Finding the Fourth Proportional to 522,963,473.77, 721,768,054.17 and 397,308,898.52

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Solution

The fourth proportional to 522,963,473.77, 721,768,054.17 and 397,308,898.52 is: 548,345,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,963,473.77 : 721,768,054.17 = 397,308,898.52 : x
  2. Step 2: Convert to fraction form
    522,963,473.77/721,768,054.17 = 397,308,898.52/x
  3. Step 3: Cross multiply
    522,963,473.77x = 721,768,054.17 × 397,308,898.52
  4. Step 4: Simplify right side
    522,963,473.77x = 286,764,870,587,087,456
  5. Step 5: Solve for x
    x = 286,764,870,587,087,456/522,963,473.77
  6. Step 6: Final answer
    x = 548,345,888.33

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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.