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Finding the Fourth Proportional to 513,715.36, 708,925.20 and 287,360.32

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Solution

The fourth proportional to 513,715.36, 708,925.20 and 287,360.32 is: 396,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,715.36 : 708,925.20 = 287,360.32 : x
  2. Step 2: Convert to fraction form
    513,715.36/708,925.20 = 287,360.32/x
  3. Step 3: Cross multiply
    513,715.36x = 708,925.20 × 287,360.32
  4. Step 4: Simplify right side
    513,715.36x = 203,716,972,328.06
  5. Step 5: Solve for x
    x = 203,716,972,328.06/513,715.36
  6. Step 6: Final answer
    x = 396,556.12

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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.