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Finding the Fourth Proportional to 255,320.40, 382,980.60 and 217,266.60

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Solution

The fourth proportional to 255,320.40, 382,980.60 and 217,266.60 is: 325,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,320.40 : 382,980.60 = 217,266.60 : x
  2. Step 2: Convert to fraction form
    255,320.40/382,980.60 = 217,266.60/x
  3. Step 3: Cross multiply
    255,320.40x = 382,980.60 × 217,266.60
  4. Step 4: Simplify right side
    255,320.40x = 83,208,892,827.96
  5. Step 5: Solve for x
    x = 83,208,892,827.96/255,320.40
  6. Step 6: Final answer
    x = 325,899.90

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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.