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Finding the Fourth Proportional to 642,408, 963,671.40 and 169,095.84

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Solution

The fourth proportional to 642,408, 963,671.40 and 169,095.84 is: 253,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,408 : 963,671.40 = 169,095.84 : x
  2. Step 2: Convert to fraction form
    642,408/963,671.40 = 169,095.84/x
  3. Step 3: Cross multiply
    642,408x = 963,671.40 × 169,095.84
  4. Step 4: Simplify right side
    642,408x = 162,952,824,866.98
  5. Step 5: Solve for x
    x = 162,952,824,866.98/642,408
  6. Step 6: Final answer
    x = 253,659.40

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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.