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Finding the Fourth Proportional to 313,953.21, 470,946.15 and 103,607.55

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Solution

The fourth proportional to 313,953.21, 470,946.15 and 103,607.55 is: 155,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,953.21 : 470,946.15 = 103,607.55 : x
  2. Step 2: Convert to fraction form
    313,953.21/470,946.15 = 103,607.55/x
  3. Step 3: Cross multiply
    313,953.21x = 470,946.15 × 103,607.55
  4. Step 4: Simplify right side
    313,953.21x = 48,793,576,783.43
  5. Step 5: Solve for x
    x = 48,793,576,783.43/313,953.21
  6. Step 6: Final answer
    x = 155,416.72

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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.