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Finding the Fourth Proportional to 643,483.51, 965,230.89 and 163,711.74

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Solution

The fourth proportional to 643,483.51, 965,230.89 and 163,711.74 is: 245,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,483.51 : 965,230.89 = 163,711.74 : x
  2. Step 2: Convert to fraction form
    643,483.51/965,230.89 = 163,711.74/x
  3. Step 3: Cross multiply
    643,483.51x = 965,230.89 × 163,711.74
  4. Step 4: Simplify right side
    643,483.51x = 158,019,631,509.35
  5. Step 5: Solve for x
    x = 158,019,631,509.35/643,483.51
  6. Step 6: Final answer
    x = 245,569.05

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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.