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Finding the Fourth Proportional to 518,688.30, 777,721.41 and 202,768.86

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Solution

The fourth proportional to 518,688.30, 777,721.41 and 202,768.86 is: 304,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,688.30 : 777,721.41 = 202,768.86 : x
  2. Step 2: Convert to fraction form
    518,688.30/777,721.41 = 202,768.86/x
  3. Step 3: Cross multiply
    518,688.30x = 777,721.41 × 202,768.86
  4. Step 4: Simplify right side
    518,688.30x = 157,697,683,703.29
  5. Step 5: Solve for x
    x = 157,697,683,703.29/518,688.30
  6. Step 6: Final answer
    x = 304,031.70

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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.