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Finding the Fourth Proportional to 570,090.08, 786,724.38 and 311,967.08

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Solution

The fourth proportional to 570,090.08, 786,724.38 and 311,967.08 is: 430,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,090.08 : 786,724.38 = 311,967.08 : x
  2. Step 2: Convert to fraction form
    570,090.08/786,724.38 = 311,967.08/x
  3. Step 3: Cross multiply
    570,090.08x = 786,724.38 × 311,967.08
  4. Step 4: Simplify right side
    570,090.08x = 245,432,103,659.79
  5. Step 5: Solve for x
    x = 245,432,103,659.79/570,090.08
  6. Step 6: Final answer
    x = 430,514.60

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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.