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Finding the Fourth Proportional to 870,721,152, 1,201,595,204.34 and 479,580,576

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Solution

The fourth proportional to 870,721,152, 1,201,595,204.34 and 479,580,576 is: 661,821,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,721,152 : 1,201,595,204.34 = 479,580,576 : x
  2. Step 2: Convert to fraction form
    870,721,152/1,201,595,204.34 = 479,580,576/x
  3. Step 3: Cross multiply
    870,721,152x = 1,201,595,204.34 × 479,580,576
  4. Step 4: Simplify right side
    870,721,152x = 576,261,720,216,214,848
  5. Step 5: Solve for x
    x = 576,261,720,216,214,848/870,721,152
  6. Step 6: Final answer
    x = 661,821,202.91

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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.