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Finding the Fourth Proportional to 313,960.72, 470,957.40 and 103,615.06

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Solution

The fourth proportional to 313,960.72, 470,957.40 and 103,615.06 is: 155,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,960.72 : 470,957.40 = 103,615.06 : x
  2. Step 2: Convert to fraction form
    313,960.72/470,957.40 = 103,615.06/x
  3. Step 3: Cross multiply
    313,960.72x = 470,957.40 × 103,615.06
  4. Step 4: Simplify right side
    313,960.72x = 48,798,279,258.44
  5. Step 5: Solve for x
    x = 48,798,279,258.44/313,960.72
  6. Step 6: Final answer
    x = 155,427.98

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1.5x scale

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.