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Finding the Fourth Proportional to 349,219.80, 523,829.70 and 99,901.80

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Solution

The fourth proportional to 349,219.80, 523,829.70 and 99,901.80 is: 149,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,219.80 : 523,829.70 = 99,901.80 : x
  2. Step 2: Convert to fraction form
    349,219.80/523,829.70 = 99,901.80/x
  3. Step 3: Cross multiply
    349,219.80x = 523,829.70 × 99,901.80
  4. Step 4: Simplify right side
    349,219.80x = 52,331,529,923.46
  5. Step 5: Solve for x
    x = 52,331,529,923.46/349,219.80
  6. Step 6: Final answer
    x = 149,852.70

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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.