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Finding the Fourth Proportional to 442,820, 611,088.36 and 251,833.16

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Solution

The fourth proportional to 442,820, 611,088.36 and 251,833.16 is: 347,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,820 : 611,088.36 = 251,833.16 : x
  2. Step 2: Convert to fraction form
    442,820/611,088.36 = 251,833.16/x
  3. Step 3: Cross multiply
    442,820x = 611,088.36 × 251,833.16
  4. Step 4: Simplify right side
    442,820x = 153,892,312,738.02
  5. Step 5: Solve for x
    x = 153,892,312,738.02/442,820
  6. Step 6: Final answer
    x = 347,527.92

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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.