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Finding the Fourth Proportional to 209,897.60, 314,846.40 and 110,019.20

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Solution

The fourth proportional to 209,897.60, 314,846.40 and 110,019.20 is: 165,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,897.60 : 314,846.40 = 110,019.20 : x
  2. Step 2: Convert to fraction form
    209,897.60/314,846.40 = 110,019.20/x
  3. Step 3: Cross multiply
    209,897.60x = 314,846.40 × 110,019.20
  4. Step 4: Simplify right side
    209,897.60x = 34,639,149,050.88
  5. Step 5: Solve for x
    x = 34,639,149,050.88/209,897.60
  6. Step 6: Final answer
    x = 165,028.80

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1.5x scale

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.