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Finding the Fourth Proportional to 387,106.75, 534,207.72 and 217,341.28

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Solution

The fourth proportional to 387,106.75, 534,207.72 and 217,341.28 is: 299,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,106.75 : 534,207.72 = 217,341.28 : x
  2. Step 2: Convert to fraction form
    387,106.75/534,207.72 = 217,341.28/x
  3. Step 3: Cross multiply
    387,106.75x = 534,207.72 × 217,341.28
  4. Step 4: Simplify right side
    387,106.75x = 116,105,389,650.68
  5. Step 5: Solve for x
    x = 116,105,389,650.68/387,106.75
  6. Step 6: Final answer
    x = 299,931.19

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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.