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Finding the Fourth Proportional to 385,320.90, 577,246.95 and 207,768.90

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Solution

The fourth proportional to 385,320.90, 577,246.95 and 207,768.90 is: 311,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,320.90 : 577,246.95 = 207,768.90 : x
  2. Step 2: Convert to fraction form
    385,320.90/577,246.95 = 207,768.90/x
  3. Step 3: Cross multiply
    385,320.90x = 577,246.95 × 207,768.90
  4. Step 4: Simplify right side
    385,320.90x = 119,933,963,829.86
  5. Step 5: Solve for x
    x = 119,933,963,829.86/385,320.90
  6. Step 6: Final answer
    x = 311,257.35

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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.