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Finding the Fourth Proportional to 652,090.80, 978,136.20 and 439,514.40

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Solution

The fourth proportional to 652,090.80, 978,136.20 and 439,514.40 is: 659,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,090.80 : 978,136.20 = 439,514.40 : x
  2. Step 2: Convert to fraction form
    652,090.80/978,136.20 = 439,514.40/x
  3. Step 3: Cross multiply
    652,090.80x = 978,136.20 × 439,514.40
  4. Step 4: Simplify right side
    652,090.80x = 429,904,945,061.28
  5. Step 5: Solve for x
    x = 429,904,945,061.28/652,090.80
  6. Step 6: Final answer
    x = 659,271.60

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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.