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Finding the Fourth Proportional to 538,661.16, 743,350.50 and 312,435.72

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Solution

The fourth proportional to 538,661.16, 743,350.50 and 312,435.72 is: 431,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,661.16 : 743,350.50 = 312,435.72 : x
  2. Step 2: Convert to fraction form
    538,661.16/743,350.50 = 312,435.72/x
  3. Step 3: Cross multiply
    538,661.16x = 743,350.50 × 312,435.72
  4. Step 4: Simplify right side
    538,661.16x = 232,249,248,679.86
  5. Step 5: Solve for x
    x = 232,249,248,679.86/538,661.16
  6. Step 6: Final answer
    x = 431,160.19

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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.