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Finding the Fourth Proportional to 383,319, 528,980.40 and 213,564.24

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Solution

The fourth proportional to 383,319, 528,980.40 and 213,564.24 is: 294,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,319 : 528,980.40 = 213,564.24 : x
  2. Step 2: Convert to fraction form
    383,319/528,980.40 = 213,564.24/x
  3. Step 3: Cross multiply
    383,319x = 528,980.40 × 213,564.24
  4. Step 4: Simplify right side
    383,319x = 112,971,297,100.90
  5. Step 5: Solve for x
    x = 112,971,297,100.90/383,319
  6. Step 6: Final answer
    x = 294,718.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.