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Finding the Fourth Proportional to 5,298,991.20, 7,948,486.80 and 1,309,903.20

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Solution

The fourth proportional to 5,298,991.20, 7,948,486.80 and 1,309,903.20 is: 1,964,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298,991.20 : 7,948,486.80 = 1,309,903.20 : x
  2. Step 2: Convert to fraction form
    5,298,991.20/7,948,486.80 = 1,309,903.20/x
  3. Step 3: Cross multiply
    5,298,991.20x = 7,948,486.80 × 1,309,903.20
  4. Step 4: Simplify right side
    5,298,991.20x = 10,411,748,294,477.76
  5. Step 5: Solve for x
    x = 10,411,748,294,477.76/5,298,991.20
  6. Step 6: Final answer
    x = 1,964,854.80

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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.