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Finding the Fourth Proportional to 518,018, 777,138.16 and 293,486

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Solution

The fourth proportional to 518,018, 777,138.16 and 293,486 is: 440,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,018 : 777,138.16 = 293,486 : x
  2. Step 2: Convert to fraction form
    518,018/777,138.16 = 293,486/x
  3. Step 3: Cross multiply
    518,018x = 777,138.16 × 293,486
  4. Step 4: Simplify right side
    518,018x = 228,079,170,025.76
  5. Step 5: Solve for x
    x = 228,079,170,025.76/518,018
  6. Step 6: Final answer
    x = 440,291.98

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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.