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Finding the Fourth Proportional to 646,456,203.86, 969,684,318.47 and 155,169,473.45

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Solution

The fourth proportional to 646,456,203.86, 969,684,318.47 and 155,169,473.45 is: 232,754,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,456,203.86 : 969,684,318.47 = 155,169,473.45 : x
  2. Step 2: Convert to fraction form
    646,456,203.86/969,684,318.47 = 155,169,473.45/x
  3. Step 3: Cross multiply
    646,456,203.86x = 969,684,318.47 × 155,169,473.45
  4. Step 4: Simplify right side
    646,456,203.86x = 150,465,405,105,251,488
  5. Step 5: Solve for x
    x = 150,465,405,105,251,488/646,456,203.86
  6. Step 6: Final answer
    x = 232,754,213.21

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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.