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Finding the Fourth Proportional to 570,024.91, 786,622.24 and 311,900.82

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Solution

The fourth proportional to 570,024.91, 786,622.24 and 311,900.82 is: 430,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,024.91 : 786,622.24 = 311,900.82 : x
  2. Step 2: Convert to fraction form
    570,024.91/786,622.24 = 311,900.82/x
  3. Step 3: Cross multiply
    570,024.91x = 786,622.24 × 311,900.82
  4. Step 4: Simplify right side
    570,024.91x = 245,348,121,686.24
  5. Step 5: Solve for x
    x = 245,348,121,686.24/570,024.91
  6. Step 6: Final answer
    x = 430,416.49

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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.