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Finding the Fourth Proportional to 313,885.80, 470,655.90 and 103,415.40

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Solution

The fourth proportional to 313,885.80, 470,655.90 and 103,415.40 is: 155,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,885.80 : 470,655.90 = 103,415.40 : x
  2. Step 2: Convert to fraction form
    313,885.80/470,655.90 = 103,415.40/x
  3. Step 3: Cross multiply
    313,885.80x = 470,655.90 × 103,415.40
  4. Step 4: Simplify right side
    313,885.80x = 48,673,068,160.86
  5. Step 5: Solve for x
    x = 48,673,068,160.86/313,885.80
  6. Step 6: Final answer
    x = 155,066.17

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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.