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Finding the Fourth Proportional to 314,923.20, 472,384.80 and 128,068.80

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Solution

The fourth proportional to 314,923.20, 472,384.80 and 128,068.80 is: 192,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,923.20 : 472,384.80 = 128,068.80 : x
  2. Step 2: Convert to fraction form
    314,923.20/472,384.80 = 128,068.80/x
  3. Step 3: Cross multiply
    314,923.20x = 472,384.80 × 128,068.80
  4. Step 4: Simplify right side
    314,923.20x = 60,497,754,474.24
  5. Step 5: Solve for x
    x = 60,497,754,474.24/314,923.20
  6. Step 6: Final answer
    x = 192,103.20

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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.