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Finding the Fourth Proportional to 642,460.86, 963,603.81 and 169,106.58

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Solution

The fourth proportional to 642,460.86, 963,603.81 and 169,106.58 is: 253,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,460.86 : 963,603.81 = 169,106.58 : x
  2. Step 2: Convert to fraction form
    642,460.86/963,603.81 = 169,106.58/x
  3. Step 3: Cross multiply
    642,460.86x = 963,603.81 × 169,106.58
  4. Step 4: Simplify right side
    642,460.86x = 162,951,744,784.07
  5. Step 5: Solve for x
    x = 162,951,744,784.07/642,460.86
  6. Step 6: Final answer
    x = 253,636.84

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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.