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Finding the Fourth Proportional to 570,844.31, 787,731.35 and 312,669.77

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Solution

The fourth proportional to 570,844.31, 787,731.35 and 312,669.77 is: 431,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,844.31 : 787,731.35 = 312,669.77 : x
  2. Step 2: Convert to fraction form
    570,844.31/787,731.35 = 312,669.77/x
  3. Step 3: Cross multiply
    570,844.31x = 787,731.35 × 312,669.77
  4. Step 4: Simplify right side
    570,844.31x = 246,299,774,524.28
  5. Step 5: Solve for x
    x = 246,299,774,524.28/570,844.31
  6. Step 6: Final answer
    x = 431,465.76

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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.