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Finding the Fourth Proportional to 384,809.40, 577,214.10 and 218,921.40

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Solution

The fourth proportional to 384,809.40, 577,214.10 and 218,921.40 is: 328,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,809.40 : 577,214.10 = 218,921.40 : x
  2. Step 2: Convert to fraction form
    384,809.40/577,214.10 = 218,921.40/x
  3. Step 3: Cross multiply
    384,809.40x = 577,214.10 × 218,921.40
  4. Step 4: Simplify right side
    384,809.40x = 126,364,518,871.74
  5. Step 5: Solve for x
    x = 126,364,518,871.74/384,809.40
  6. Step 6: Final answer
    x = 328,382.10

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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.