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Finding the Fourth Proportional to 642,176.40, 963,275.40 and 243,005.16

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Solution

The fourth proportional to 642,176.40, 963,275.40 and 243,005.16 is: 364,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,176.40 : 963,275.40 = 243,005.16 : x
  2. Step 2: Convert to fraction form
    642,176.40/963,275.40 = 243,005.16/x
  3. Step 3: Cross multiply
    642,176.40x = 963,275.40 × 243,005.16
  4. Step 4: Simplify right side
    642,176.40x = 234,080,892,701.06
  5. Step 5: Solve for x
    x = 234,080,892,701.06/642,176.40
  6. Step 6: Final answer
    x = 364,511.83

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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.