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Finding the Fourth Proportional to 486,009.50, 670,693.12 and 284,805.50

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Solution

The fourth proportional to 486,009.50, 670,693.12 and 284,805.50 is: 393,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,009.50 : 670,693.12 = 284,805.50 : x
  2. Step 2: Convert to fraction form
    486,009.50/670,693.12 = 284,805.50/x
  3. Step 3: Cross multiply
    486,009.50x = 670,693.12 × 284,805.50
  4. Step 4: Simplify right side
    486,009.50x = 191,017,089,388.16
  5. Step 5: Solve for x
    x = 191,017,089,388.16/486,009.50
  6. Step 6: Final answer
    x = 393,031.60

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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.