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Finding the Fourth Proportional to 706,830.40, 1,059,882.40 and 208,129.60

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Solution

The fourth proportional to 706,830.40, 1,059,882.40 and 208,129.60 is: 312,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,830.40 : 1,059,882.40 = 208,129.60 : x
  2. Step 2: Convert to fraction form
    706,830.40/1,059,882.40 = 208,129.60/x
  3. Step 3: Cross multiply
    706,830.40x = 1,059,882.40 × 208,129.60
  4. Step 4: Simplify right side
    706,830.40x = 220,592,899,959.04
  5. Step 5: Solve for x
    x = 220,592,899,959.04/706,830.40
  6. Step 6: Final answer
    x = 312,087.45

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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.