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Finding the Fourth Proportional to 517,730.16, 776,278.10 and 201,818

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Solution

The fourth proportional to 517,730.16, 776,278.10 and 201,818 is: 302,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,730.16 : 776,278.10 = 201,818 : x
  2. Step 2: Convert to fraction form
    517,730.16/776,278.10 = 201,818/x
  3. Step 3: Cross multiply
    517,730.16x = 776,278.10 × 201,818
  4. Step 4: Simplify right side
    517,730.16x = 156,666,893,585.80
  5. Step 5: Solve for x
    x = 156,666,893,585.80/517,730.16
  6. Step 6: Final answer
    x = 302,603.37

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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.