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Finding the Fourth Proportional to 314,553.60, 470,908.80 and 277,689.60

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Solution

The fourth proportional to 314,553.60, 470,908.80 and 277,689.60 is: 415,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,553.60 : 470,908.80 = 277,689.60 : x
  2. Step 2: Convert to fraction form
    314,553.60/470,908.80 = 277,689.60/x
  3. Step 3: Cross multiply
    314,553.60x = 470,908.80 × 277,689.60
  4. Step 4: Simplify right side
    314,553.60x = 130,766,476,308.48
  5. Step 5: Solve for x
    x = 130,766,476,308.48/314,553.60
  6. Step 6: Final answer
    x = 415,720.81

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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.