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Finding the Fourth Proportional to 647,455.23, 971,462.61 and 347,585.65

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Solution

The fourth proportional to 647,455.23, 971,462.61 and 347,585.65 is: 521,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,455.23 : 971,462.61 = 347,585.65 : x
  2. Step 2: Convert to fraction form
    647,455.23/971,462.61 = 347,585.65/x
  3. Step 3: Cross multiply
    647,455.23x = 971,462.61 × 347,585.65
  4. Step 4: Simplify right side
    647,455.23x = 337,666,460,318.89
  5. Step 5: Solve for x
    x = 337,666,460,318.89/647,455.23
  6. Step 6: Final answer
    x = 521,528.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.