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Finding the Fourth Proportional to 943,165, 1,301,565.54 and 513,448.12

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Solution

The fourth proportional to 943,165, 1,301,565.54 and 513,448.12 is: 708,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,165 : 1,301,565.54 = 513,448.12 : x
  2. Step 2: Convert to fraction form
    943,165/1,301,565.54 = 513,448.12/x
  3. Step 3: Cross multiply
    943,165x = 1,301,565.54 × 513,448.12
  4. Step 4: Simplify right side
    943,165x = 668,286,379,569.79
  5. Step 5: Solve for x
    x = 668,286,379,569.79/943,165
  6. Step 6: Final answer
    x = 708,557.23

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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.