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Finding the Fourth Proportional to 313,937.60, 470,496.80 and 145,438.40

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Solution

The fourth proportional to 313,937.60, 470,496.80 and 145,438.40 is: 217,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,937.60 : 470,496.80 = 145,438.40 : x
  2. Step 2: Convert to fraction form
    313,937.60/470,496.80 = 145,438.40/x
  3. Step 3: Cross multiply
    313,937.60x = 470,496.80 × 145,438.40
  4. Step 4: Simplify right side
    313,937.60x = 68,428,301,797.12
  5. Step 5: Solve for x
    x = 68,428,301,797.12/313,937.60
  6. Step 6: Final answer
    x = 217,967.84

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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.