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Finding the Fourth Proportional to 518,710.36, 715,840.32 and 292,351

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Solution

The fourth proportional to 518,710.36, 715,840.32 and 292,351 is: 403,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,710.36 : 715,840.32 = 292,351 : x
  2. Step 2: Convert to fraction form
    518,710.36/715,840.32 = 292,351/x
  3. Step 3: Cross multiply
    518,710.36x = 715,840.32 × 292,351
  4. Step 4: Simplify right side
    518,710.36x = 209,276,633,392.32
  5. Step 5: Solve for x
    x = 209,276,633,392.32/518,710.36
  6. Step 6: Final answer
    x = 403,455.67

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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.