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Finding the Fourth Proportional to 570,373.14, 787,114.92 and 315,724.32

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Solution

The fourth proportional to 570,373.14, 787,114.92 and 315,724.32 is: 435,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,373.14 : 787,114.92 = 315,724.32 : x
  2. Step 2: Convert to fraction form
    570,373.14/787,114.92 = 315,724.32/x
  3. Step 3: Cross multiply
    570,373.14x = 787,114.92 × 315,724.32
  4. Step 4: Simplify right side
    570,373.14x = 248,511,322,878.85
  5. Step 5: Solve for x
    x = 248,511,322,878.85/570,373.14
  6. Step 6: Final answer
    x = 435,699.55

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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.