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Finding the Fourth Proportional to 493,708.10, 680,849.16 and 340,501.46

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Solution

The fourth proportional to 493,708.10, 680,849.16 and 340,501.46 is: 469,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,708.10 : 680,849.16 = 340,501.46 : x
  2. Step 2: Convert to fraction form
    493,708.10/680,849.16 = 340,501.46/x
  3. Step 3: Cross multiply
    493,708.10x = 680,849.16 × 340,501.46
  4. Step 4: Simplify right side
    493,708.10x = 231,830,133,019.77
  5. Step 5: Solve for x
    x = 231,830,133,019.77/493,708.10
  6. Step 6: Final answer
    x = 469,569.23

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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.