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Finding the Fourth Proportional to 389,711.68, 584,501.68 and 109,164.40

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Solution

The fourth proportional to 389,711.68, 584,501.68 and 109,164.40 is: 163,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,711.68 : 584,501.68 = 109,164.40 : x
  2. Step 2: Convert to fraction form
    389,711.68/584,501.68 = 109,164.40/x
  3. Step 3: Cross multiply
    389,711.68x = 584,501.68 × 109,164.40
  4. Step 4: Simplify right side
    389,711.68x = 63,806,775,196.19
  5. Step 5: Solve for x
    x = 63,806,775,196.19/389,711.68
  6. Step 6: Final answer
    x = 163,728.16

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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.