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Finding the Fourth Proportional to 518,176.42, 777,264.63 and 202,411.90

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Solution

The fourth proportional to 518,176.42, 777,264.63 and 202,411.90 is: 303,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,176.42 : 777,264.63 = 202,411.90 : x
  2. Step 2: Convert to fraction form
    518,176.42/777,264.63 = 202,411.90/x
  3. Step 3: Cross multiply
    518,176.42x = 777,264.63 × 202,411.90
  4. Step 4: Simplify right side
    518,176.42x = 157,327,610,561.10
  5. Step 5: Solve for x
    x = 157,327,610,561.10/518,176.42
  6. Step 6: Final answer
    x = 303,617.85

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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.