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Finding the Fourth Proportional to 645,698, 890,822.58 and 403,888.70

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Solution

The fourth proportional to 645,698, 890,822.58 and 403,888.70 is: 557,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,698 : 890,822.58 = 403,888.70 : x
  2. Step 2: Convert to fraction form
    645,698/890,822.58 = 403,888.70/x
  3. Step 3: Cross multiply
    645,698x = 890,822.58 × 403,888.70
  4. Step 4: Simplify right side
    645,698x = 359,793,173,766.85
  5. Step 5: Solve for x
    x = 359,793,173,766.85/645,698
  6. Step 6: Final answer
    x = 557,215.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.