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Finding the Fourth Proportional to 387,105.16, 534,205.12 and 217,342.93

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Solution

The fourth proportional to 387,105.16, 534,205.12 and 217,342.93 is: 299,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,105.16 : 534,205.12 = 217,342.93 : x
  2. Step 2: Convert to fraction form
    387,105.16/534,205.12 = 217,342.93/x
  3. Step 3: Cross multiply
    387,105.16x = 534,205.12 × 217,342.93
  4. Step 4: Simplify right side
    387,105.16x = 116,105,703,047.66
  5. Step 5: Solve for x
    x = 116,105,703,047.66/387,105.16
  6. Step 6: Final answer
    x = 299,933.24

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1.5x scale

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.