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Finding the Fourth Proportional to 570,418.41, 787,186.71 and 312,291.03

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Solution

The fourth proportional to 570,418.41, 787,186.71 and 312,291.03 is: 430,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,418.41 : 787,186.71 = 312,291.03 : x
  2. Step 2: Convert to fraction form
    570,418.41/787,186.71 = 312,291.03/x
  3. Step 3: Cross multiply
    570,418.41x = 787,186.71 × 312,291.03
  4. Step 4: Simplify right side
    570,418.41x = 245,831,346,906.76
  5. Step 5: Solve for x
    x = 245,831,346,906.76/570,418.41
  6. Step 6: Final answer
    x = 430,966.71

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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.