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Finding the Fourth Proportional to 506,321.16, 698,723.40 and 288,523.62

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Solution

The fourth proportional to 506,321.16, 698,723.40 and 288,523.62 is: 398,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,321.16 : 698,723.40 = 288,523.62 : x
  2. Step 2: Convert to fraction form
    506,321.16/698,723.40 = 288,523.62/x
  3. Step 3: Cross multiply
    506,321.16x = 698,723.40 × 288,523.62
  4. Step 4: Simplify right side
    506,321.16x = 201,598,204,746.71
  5. Step 5: Solve for x
    x = 201,598,204,746.71/506,321.16
  6. Step 6: Final answer
    x = 398,162.71

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1.5x scale

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.