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Finding the Fourth Proportional to 512,458.40, 769,270.80 and 302,214.80

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Solution

The fourth proportional to 512,458.40, 769,270.80 and 302,214.80 is: 453,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,458.40 : 769,270.80 = 302,214.80 : x
  2. Step 2: Convert to fraction form
    512,458.40/769,270.80 = 302,214.80/x
  3. Step 3: Cross multiply
    512,458.40x = 769,270.80 × 302,214.80
  4. Step 4: Simplify right side
    512,458.40x = 232,485,020,967.84
  5. Step 5: Solve for x
    x = 232,485,020,967.84/512,458.40
  6. Step 6: Final answer
    x = 453,666.13

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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.