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Finding the Fourth Proportional to 1,921,819.20, 2,880,309.60 and 975,451.20

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Solution

The fourth proportional to 1,921,819.20, 2,880,309.60 and 975,451.20 is: 1,461,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,819.20 : 2,880,309.60 = 975,451.20 : x
  2. Step 2: Convert to fraction form
    1,921,819.20/2,880,309.60 = 975,451.20/x
  3. Step 3: Cross multiply
    1,921,819.20x = 2,880,309.60 × 975,451.20
  4. Step 4: Simplify right side
    1,921,819.20x = 2,809,601,455,691.52
  5. Step 5: Solve for x
    x = 2,809,601,455,691.52/1,921,819.20
  6. Step 6: Final answer
    x = 1,461,948.89

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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.