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Finding the Fourth Proportional to 386,411.24, 579,783.72 and 209,043.20

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Solution

The fourth proportional to 386,411.24, 579,783.72 and 209,043.20 is: 313,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,411.24 : 579,783.72 = 209,043.20 : x
  2. Step 2: Convert to fraction form
    386,411.24/579,783.72 = 209,043.20/x
  3. Step 3: Cross multiply
    386,411.24x = 579,783.72 × 209,043.20
  4. Step 4: Simplify right side
    386,411.24x = 121,199,844,136.70
  5. Step 5: Solve for x
    x = 121,199,844,136.70/386,411.24
  6. Step 6: Final answer
    x = 313,655.07

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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.