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Finding the Fourth Proportional to 686,749, 1,030,407 and 370,833.88

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Solution

The fourth proportional to 686,749, 1,030,407 and 370,833.88 is: 556,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,749 : 1,030,407 = 370,833.88 : x
  2. Step 2: Convert to fraction form
    686,749/1,030,407 = 370,833.88/x
  3. Step 3: Cross multiply
    686,749x = 1,030,407 × 370,833.88
  4. Step 4: Simplify right side
    686,749x = 382,109,825,789.16
  5. Step 5: Solve for x
    x = 382,109,825,789.16/686,749
  6. Step 6: Final answer
    x = 556,403.91

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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.