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Finding the Fourth Proportional to 255,098.30, 382,647.45 and 220,106.30

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Solution

The fourth proportional to 255,098.30, 382,647.45 and 220,106.30 is: 330,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,098.30 : 382,647.45 = 220,106.30 : x
  2. Step 2: Convert to fraction form
    255,098.30/382,647.45 = 220,106.30/x
  3. Step 3: Cross multiply
    255,098.30x = 382,647.45 × 220,106.30
  4. Step 4: Simplify right side
    255,098.30x = 84,223,114,423.94
  5. Step 5: Solve for x
    x = 84,223,114,423.94/255,098.30
  6. Step 6: Final answer
    x = 330,159.45

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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.