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Finding the Fourth Proportional to 387,189, 534,089.16 and 243,699.93

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Solution

The fourth proportional to 387,189, 534,089.16 and 243,699.93 is: 336,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,189 : 534,089.16 = 243,699.93 : x
  2. Step 2: Convert to fraction form
    387,189/534,089.16 = 243,699.93/x
  3. Step 3: Cross multiply
    387,189x = 534,089.16 × 243,699.93
  4. Step 4: Simplify right side
    387,189x = 130,157,490,905.76
  5. Step 5: Solve for x
    x = 130,157,490,905.76/387,189
  6. Step 6: Final answer
    x = 336,160.09

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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.