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Finding the Fourth Proportional to 613,403.48, 920,034.86 and 164,159.36

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Solution

The fourth proportional to 613,403.48, 920,034.86 and 164,159.36 is: 246,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,403.48 : 920,034.86 = 164,159.36 : x
  2. Step 2: Convert to fraction form
    613,403.48/920,034.86 = 164,159.36/x
  3. Step 3: Cross multiply
    613,403.48x = 920,034.86 × 164,159.36
  4. Step 4: Simplify right side
    613,403.48x = 151,032,331,824.45
  5. Step 5: Solve for x
    x = 151,032,331,824.45/613,403.48
  6. Step 6: Final answer
    x = 246,220.21

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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.