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Finding the Fourth Proportional to 517,820.92, 714,813.10 and 348,153.40

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Solution

The fourth proportional to 517,820.92, 714,813.10 and 348,153.40 is: 480,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,820.92 : 714,813.10 = 348,153.40 : x
  2. Step 2: Convert to fraction form
    517,820.92/714,813.10 = 348,153.40/x
  3. Step 3: Cross multiply
    517,820.92x = 714,813.10 × 348,153.40
  4. Step 4: Simplify right side
    517,820.92x = 248,864,611,129.54
  5. Step 5: Solve for x
    x = 248,864,611,129.54/517,820.92
  6. Step 6: Final answer
    x = 480,599.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.