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Finding the Fourth Proportional to 313,823.80, 470,714.10 and 100,588.60

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Solution

The fourth proportional to 313,823.80, 470,714.10 and 100,588.60 is: 150,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,823.80 : 470,714.10 = 100,588.60 : x
  2. Step 2: Convert to fraction form
    313,823.80/470,714.10 = 100,588.60/x
  3. Step 3: Cross multiply
    313,823.80x = 470,714.10 × 100,588.60
  4. Step 4: Simplify right side
    313,823.80x = 47,348,472,319.26
  5. Step 5: Solve for x
    x = 47,348,472,319.26/313,823.80
  6. Step 6: Final answer
    x = 150,875.98

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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.