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Finding the Fourth Proportional to 645,270.42, 890,467.66 and 358,788

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Solution

The fourth proportional to 645,270.42, 890,467.66 and 358,788 is: 495,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,270.42 : 890,467.66 = 358,788 : x
  2. Step 2: Convert to fraction form
    645,270.42/890,467.66 = 358,788/x
  3. Step 3: Cross multiply
    645,270.42x = 890,467.66 × 358,788
  4. Step 4: Simplify right side
    645,270.42x = 319,489,110,796.08
  5. Step 5: Solve for x
    x = 319,489,110,796.08/645,270.42
  6. Step 6: Final answer
    x = 495,124.37

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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.