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Finding the Fourth Proportional to 313,829.80, 470,742.54 and 103,484.68

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Solution

The fourth proportional to 313,829.80, 470,742.54 and 103,484.68 is: 155,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,829.80 : 470,742.54 = 103,484.68 : x
  2. Step 2: Convert to fraction form
    313,829.80/470,742.54 = 103,484.68/x
  3. Step 3: Cross multiply
    313,829.80x = 470,742.54 × 103,484.68
  4. Step 4: Simplify right side
    313,829.80x = 48,714,641,114.29
  5. Step 5: Solve for x
    x = 48,714,641,114.29/313,829.80
  6. Step 6: Final answer
    x = 155,226.31

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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.