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Finding the Fourth Proportional to 642,810.40, 964,042.80 and 193,530.40

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Solution

The fourth proportional to 642,810.40, 964,042.80 and 193,530.40 is: 290,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,810.40 : 964,042.80 = 193,530.40 : x
  2. Step 2: Convert to fraction form
    642,810.40/964,042.80 = 193,530.40/x
  3. Step 3: Cross multiply
    642,810.40x = 964,042.80 × 193,530.40
  4. Step 4: Simplify right side
    642,810.40x = 186,571,588,701.12
  5. Step 5: Solve for x
    x = 186,571,588,701.12/642,810.40
  6. Step 6: Final answer
    x = 290,243.58

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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.