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Finding the Fourth Proportional to 385,411.90, 577,383.45 and 207,859.90

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Solution

The fourth proportional to 385,411.90, 577,383.45 and 207,859.90 is: 311,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,411.90 : 577,383.45 = 207,859.90 : x
  2. Step 2: Convert to fraction form
    385,411.90/577,383.45 = 207,859.90/x
  3. Step 3: Cross multiply
    385,411.90x = 577,383.45 × 207,859.90
  4. Step 4: Simplify right side
    385,411.90x = 120,014,866,178.66
  5. Step 5: Solve for x
    x = 120,014,866,178.66/385,411.90
  6. Step 6: Final answer
    x = 311,393.77

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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.