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Finding the Fourth Proportional to 645,820.80, 968,293.80 and 342,265.20

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Solution

The fourth proportional to 645,820.80, 968,293.80 and 342,265.20 is: 513,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,820.80 : 968,293.80 = 342,265.20 : x
  2. Step 2: Convert to fraction form
    645,820.80/968,293.80 = 342,265.20/x
  3. Step 3: Cross multiply
    645,820.80x = 968,293.80 × 342,265.20
  4. Step 4: Simplify right side
    645,820.80x = 331,413,271,115.76
  5. Step 5: Solve for x
    x = 331,413,271,115.76/645,820.80
  6. Step 6: Final answer
    x = 513,165.99

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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.