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Finding the Fourth Proportional to 505,792.29, 697,985.22 and 276,344.66

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Solution

The fourth proportional to 505,792.29, 697,985.22 and 276,344.66 is: 381,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,792.29 : 697,985.22 = 276,344.66 : x
  2. Step 2: Convert to fraction form
    505,792.29/697,985.22 = 276,344.66/x
  3. Step 3: Cross multiply
    505,792.29x = 697,985.22 × 276,344.66
  4. Step 4: Simplify right side
    505,792.29x = 192,884,487,038.16
  5. Step 5: Solve for x
    x = 192,884,487,038.16/505,792.29
  6. Step 6: Final answer
    x = 381,351.18

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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.