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Finding the Fourth Proportional to 523,293.20, 784,947 and 149,316.08

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Solution

The fourth proportional to 523,293.20, 784,947 and 149,316.08 is: 223,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,293.20 : 784,947 = 149,316.08 : x
  2. Step 2: Convert to fraction form
    523,293.20/784,947 = 149,316.08/x
  3. Step 3: Cross multiply
    523,293.20x = 784,947 × 149,316.08
  4. Step 4: Simplify right side
    523,293.20x = 117,205,209,047.76
  5. Step 5: Solve for x
    x = 117,205,209,047.76/523,293.20
  6. Step 6: Final answer
    x = 223,976.17

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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.