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Finding the Fourth Proportional to 686,120.84, 947,308.88 and 428,390.20

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Solution

The fourth proportional to 686,120.84, 947,308.88 and 428,390.20 is: 591,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,120.84 : 947,308.88 = 428,390.20 : x
  2. Step 2: Convert to fraction form
    686,120.84/947,308.88 = 428,390.20/x
  3. Step 3: Cross multiply
    686,120.84x = 947,308.88 × 428,390.20
  4. Step 4: Simplify right side
    686,120.84x = 405,817,840,564.98
  5. Step 5: Solve for x
    x = 405,817,840,564.98/686,120.84
  6. Step 6: Final answer
    x = 591,467.01

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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.