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Finding the Fourth Proportional to 643,475.47, 965,208.86 and 163,699.15

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Solution

The fourth proportional to 643,475.47, 965,208.86 and 163,699.15 is: 245,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,475.47 : 965,208.86 = 163,699.15 : x
  2. Step 2: Convert to fraction form
    643,475.47/965,208.86 = 163,699.15/x
  3. Step 3: Cross multiply
    643,475.47x = 965,208.86 × 163,699.15
  4. Step 4: Simplify right side
    643,475.47x = 158,003,869,954.47
  5. Step 5: Solve for x
    x = 158,003,869,954.47/643,475.47
  6. Step 6: Final answer
    x = 245,547.62

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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.