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Finding the Fourth Proportional to 645,464.60, 968,196.90 and 542,821.40

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Solution

The fourth proportional to 645,464.60, 968,196.90 and 542,821.40 is: 814,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,464.60 : 968,196.90 = 542,821.40 : x
  2. Step 2: Convert to fraction form
    645,464.60/968,196.90 = 542,821.40/x
  3. Step 3: Cross multiply
    645,464.60x = 968,196.90 × 542,821.40
  4. Step 4: Simplify right side
    645,464.60x = 525,557,996,733.66
  5. Step 5: Solve for x
    x = 525,557,996,733.66/645,464.60
  6. Step 6: Final answer
    x = 814,232.10

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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.