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Finding the Fourth Proportional to 518,386.50, 715,410.09 and 292,032

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Solution

The fourth proportional to 518,386.50, 715,410.09 and 292,032 is: 403,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,386.50 : 715,410.09 = 292,032 : x
  2. Step 2: Convert to fraction form
    518,386.50/715,410.09 = 292,032/x
  3. Step 3: Cross multiply
    518,386.50x = 715,410.09 × 292,032
  4. Step 4: Simplify right side
    518,386.50x = 208,922,639,402.88
  5. Step 5: Solve for x
    x = 208,922,639,402.88/518,386.50
  6. Step 6: Final answer
    x = 403,024.85

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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.