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Finding the Fourth Proportional to 299,300,658.30, 448,950,987.45 and 290,342,706.30

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Solution

The fourth proportional to 299,300,658.30, 448,950,987.45 and 290,342,706.30 is: 435,514,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,300,658.30 : 448,950,987.45 = 290,342,706.30 : x
  2. Step 2: Convert to fraction form
    299,300,658.30/448,950,987.45 = 290,342,706.30/x
  3. Step 3: Cross multiply
    299,300,658.30x = 448,950,987.45 × 290,342,706.30
  4. Step 4: Simplify right side
    299,300,658.30x = 130,349,644,692,290,336
  5. Step 5: Solve for x
    x = 130,349,644,692,290,336/299,300,658.30
  6. Step 6: Final answer
    x = 435,514,059.45

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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.