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Finding the Fourth Proportional to 298,984,658.10, 448,476,987.15 and 286,070,641.80

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Solution

The fourth proportional to 298,984,658.10, 448,476,987.15 and 286,070,641.80 is: 429,105,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,984,658.10 : 448,476,987.15 = 286,070,641.80 : x
  2. Step 2: Convert to fraction form
    298,984,658.10/448,476,987.15 = 286,070,641.80/x
  3. Step 3: Cross multiply
    298,984,658.10x = 448,476,987.15 × 286,070,641.80
  4. Step 4: Simplify right side
    298,984,658.10x = 128,296,099,546,530,848
  5. Step 5: Solve for x
    x = 128,296,099,546,530,848/298,984,658.10
  6. Step 6: Final answer
    x = 429,105,962.70

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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.