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Finding the Fourth Proportional to 506,144.16, 698,448.96 and 279,776.16

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Solution

The fourth proportional to 506,144.16, 698,448.96 and 279,776.16 is: 386,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,144.16 : 698,448.96 = 279,776.16 : x
  2. Step 2: Convert to fraction form
    506,144.16/698,448.96 = 279,776.16/x
  3. Step 3: Cross multiply
    506,144.16x = 698,448.96 × 279,776.16
  4. Step 4: Simplify right side
    506,144.16x = 195,409,367,984.79
  5. Step 5: Solve for x
    x = 195,409,367,984.79/506,144.16
  6. Step 6: Final answer
    x = 386,074.53

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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.