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Finding the Fourth Proportional to 518,886.76, 778,265.73 and 139,837.15

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Solution

The fourth proportional to 518,886.76, 778,265.73 and 139,837.15 is: 209,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,886.76 : 778,265.73 = 139,837.15 : x
  2. Step 2: Convert to fraction form
    518,886.76/778,265.73 = 139,837.15/x
  3. Step 3: Cross multiply
    518,886.76x = 778,265.73 × 139,837.15
  4. Step 4: Simplify right side
    518,886.76x = 108,830,461,625.87
  5. Step 5: Solve for x
    x = 108,830,461,625.87/518,886.76
  6. Step 6: Final answer
    x = 209,738.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.