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Finding the Fourth Proportional to 642,003.80, 963,005.70 and 538,784.60

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Solution

The fourth proportional to 642,003.80, 963,005.70 and 538,784.60 is: 808,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,003.80 : 963,005.70 = 538,784.60 : x
  2. Step 2: Convert to fraction form
    642,003.80/963,005.70 = 538,784.60/x
  3. Step 3: Cross multiply
    642,003.80x = 963,005.70 × 538,784.60
  4. Step 4: Simplify right side
    642,003.80x = 518,852,640,872.22
  5. Step 5: Solve for x
    x = 518,852,640,872.22/642,003.80
  6. Step 6: Final answer
    x = 808,176.90

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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.