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Finding the Fourth Proportional to 413,904,364.70, 620,856,547.05 and 284,909,855.90

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Solution

The fourth proportional to 413,904,364.70, 620,856,547.05 and 284,909,855.90 is: 427,364,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,904,364.70 : 620,856,547.05 = 284,909,855.90 : x
  2. Step 2: Convert to fraction form
    413,904,364.70/620,856,547.05 = 284,909,855.90/x
  3. Step 3: Cross multiply
    413,904,364.70x = 620,856,547.05 × 284,909,855.90
  4. Step 4: Simplify right side
    413,904,364.70x = 176,888,149,354,587,040
  5. Step 5: Solve for x
    x = 176,888,149,354,587,040/413,904,364.70
  6. Step 6: Final answer
    x = 427,364,783.85

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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.