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Finding the Fourth Proportional to 642,814.93, 963,631.90 and 343,502.11

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Solution

The fourth proportional to 642,814.93, 963,631.90 and 343,502.11 is: 514,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,814.93 : 963,631.90 = 343,502.11 : x
  2. Step 2: Convert to fraction form
    642,814.93/963,631.90 = 343,502.11/x
  3. Step 3: Cross multiply
    642,814.93x = 963,631.90 × 343,502.11
  4. Step 4: Simplify right side
    642,814.93x = 331,009,590,913.31
  5. Step 5: Solve for x
    x = 331,009,590,913.31/642,814.93
  6. Step 6: Final answer
    x = 514,937.62

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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.