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Finding the Fourth Proportional to 686,980.40, 1,030,454.40 and 188,344.40

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Solution

The fourth proportional to 686,980.40, 1,030,454.40 and 188,344.40 is: 282,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,980.40 : 1,030,454.40 = 188,344.40 : x
  2. Step 2: Convert to fraction form
    686,980.40/1,030,454.40 = 188,344.40/x
  3. Step 3: Cross multiply
    686,980.40x = 1,030,454.40 × 188,344.40
  4. Step 4: Simplify right side
    686,980.40x = 194,080,315,695.36
  5. Step 5: Solve for x
    x = 194,080,315,695.36/686,980.40
  6. Step 6: Final answer
    x = 282,512.16

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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.