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Finding the Fourth Proportional to 569,658.72, 786,090.24 and 315,007.68

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Solution

The fourth proportional to 569,658.72, 786,090.24 and 315,007.68 is: 434,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,658.72 : 786,090.24 = 315,007.68 : x
  2. Step 2: Convert to fraction form
    569,658.72/786,090.24 = 315,007.68/x
  3. Step 3: Cross multiply
    569,658.72x = 786,090.24 × 315,007.68
  4. Step 4: Simplify right side
    569,658.72x = 247,624,462,773.04
  5. Step 5: Solve for x
    x = 247,624,462,773.04/569,658.72
  6. Step 6: Final answer
    x = 434,689.15

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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.