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Finding the Fourth Proportional to 686,706.60, 1,030,059.90 and 647,999.40

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Solution

The fourth proportional to 686,706.60, 1,030,059.90 and 647,999.40 is: 971,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,706.60 : 1,030,059.90 = 647,999.40 : x
  2. Step 2: Convert to fraction form
    686,706.60/1,030,059.90 = 647,999.40/x
  3. Step 3: Cross multiply
    686,706.60x = 1,030,059.90 × 647,999.40
  4. Step 4: Simplify right side
    686,706.60x = 667,478,197,164.06
  5. Step 5: Solve for x
    x = 667,478,197,164.06/686,706.60
  6. Step 6: Final answer
    x = 971,999.10

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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.