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Finding the Fourth Proportional to 400,148.40, 598,910.40 and 310,918.80

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Solution

The fourth proportional to 400,148.40, 598,910.40 and 310,918.80 is: 465,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,148.40 : 598,910.40 = 310,918.80 : x
  2. Step 2: Convert to fraction form
    400,148.40/598,910.40 = 310,918.80/x
  3. Step 3: Cross multiply
    400,148.40x = 598,910.40 × 310,918.80
  4. Step 4: Simplify right side
    400,148.40x = 186,212,502,875.52
  5. Step 5: Solve for x
    x = 186,212,502,875.52/400,148.40
  6. Step 6: Final answer
    x = 465,358.61

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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.