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Finding the Fourth Proportional to 382,838.85, 528,319.80 and 210,774.20

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Solution

The fourth proportional to 382,838.85, 528,319.80 and 210,774.20 is: 290,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,838.85 : 528,319.80 = 210,774.20 : x
  2. Step 2: Convert to fraction form
    382,838.85/528,319.80 = 210,774.20/x
  3. Step 3: Cross multiply
    382,838.85x = 528,319.80 × 210,774.20
  4. Step 4: Simplify right side
    382,838.85x = 111,356,180,547.56
  5. Step 5: Solve for x
    x = 111,356,180,547.56/382,838.85
  6. Step 6: Final answer
    x = 290,869.59

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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.