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Finding the Fourth Proportional to 255,943.20, 384,206.40 and 150,821.40

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Solution

The fourth proportional to 255,943.20, 384,206.40 and 150,821.40 is: 226,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,943.20 : 384,206.40 = 150,821.40 : x
  2. Step 2: Convert to fraction form
    255,943.20/384,206.40 = 150,821.40/x
  3. Step 3: Cross multiply
    255,943.20x = 384,206.40 × 150,821.40
  4. Step 4: Simplify right side
    255,943.20x = 57,946,547,136.96
  5. Step 5: Solve for x
    x = 57,946,547,136.96/255,943.20
  6. Step 6: Final answer
    x = 226,403.93

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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.