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Finding the Fourth Proportional to 387,783.14, 535,173.05 and 215,733.51

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Solution

The fourth proportional to 387,783.14, 535,173.05 and 215,733.51 is: 297,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,783.14 : 535,173.05 = 215,733.51 : x
  2. Step 2: Convert to fraction form
    387,783.14/535,173.05 = 215,733.51/x
  3. Step 3: Cross multiply
    387,783.14x = 535,173.05 × 215,733.51
  4. Step 4: Simplify right side
    387,783.14x = 115,454,760,533.91
  5. Step 5: Solve for x
    x = 115,454,760,533.91/387,783.14
  6. Step 6: Final answer
    x = 297,730.22

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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.