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Finding the Fourth Proportional to 517,263.19, 713,823.20 and 287,835.26

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Solution

The fourth proportional to 517,263.19, 713,823.20 and 287,835.26 is: 397,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,263.19 : 713,823.20 = 287,835.26 : x
  2. Step 2: Convert to fraction form
    517,263.19/713,823.20 = 287,835.26/x
  3. Step 3: Cross multiply
    517,263.19x = 713,823.20 × 287,835.26
  4. Step 4: Simplify right side
    517,263.19x = 205,463,483,516.50
  5. Step 5: Solve for x
    x = 205,463,483,516.50/517,263.19
  6. Step 6: Final answer
    x = 397,212.65

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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.