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Finding the Fourth Proportional to 348,999.70, 523,499.55 and 313,570.30

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Solution

The fourth proportional to 348,999.70, 523,499.55 and 313,570.30 is: 470,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,999.70 : 523,499.55 = 313,570.30 : x
  2. Step 2: Convert to fraction form
    348,999.70/523,499.55 = 313,570.30/x
  3. Step 3: Cross multiply
    348,999.70x = 523,499.55 × 313,570.30
  4. Step 4: Simplify right side
    348,999.70x = 164,153,910,943.37
  5. Step 5: Solve for x
    x = 164,153,910,943.37/348,999.70
  6. Step 6: Final answer
    x = 470,355.45

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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.