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Finding the Fourth Proportional to 298,742.80, 448,114.20 and 266,083.60

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Solution

The fourth proportional to 298,742.80, 448,114.20 and 266,083.60 is: 399,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,742.80 : 448,114.20 = 266,083.60 : x
  2. Step 2: Convert to fraction form
    298,742.80/448,114.20 = 266,083.60/x
  3. Step 3: Cross multiply
    298,742.80x = 448,114.20 × 266,083.60
  4. Step 4: Simplify right side
    298,742.80x = 119,235,839,547.12
  5. Step 5: Solve for x
    x = 119,235,839,547.12/298,742.80
  6. Step 6: Final answer
    x = 399,125.40

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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.