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Finding the Fourth Proportional to 686,474.34, 947,286.80 and 380,547.78

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Solution

The fourth proportional to 686,474.34, 947,286.80 and 380,547.78 is: 525,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,474.34 : 947,286.80 = 380,547.78 : x
  2. Step 2: Convert to fraction form
    686,474.34/947,286.80 = 380,547.78/x
  3. Step 3: Cross multiply
    686,474.34x = 947,286.80 × 380,547.78
  4. Step 4: Simplify right side
    686,474.34x = 360,487,888,763.30
  5. Step 5: Solve for x
    x = 360,487,888,763.30/686,474.34
  6. Step 6: Final answer
    x = 525,129.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.