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Finding the Fourth Proportional to 709,406.10, 978,980.40 and 505,811.70

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Solution

The fourth proportional to 709,406.10, 978,980.40 and 505,811.70 is: 698,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,406.10 : 978,980.40 = 505,811.70 : x
  2. Step 2: Convert to fraction form
    709,406.10/978,980.40 = 505,811.70/x
  3. Step 3: Cross multiply
    709,406.10x = 978,980.40 × 505,811.70
  4. Step 4: Simplify right side
    709,406.10x = 495,179,740,390.68
  5. Step 5: Solve for x
    x = 495,179,740,390.68/709,406.10
  6. Step 6: Final answer
    x = 698,020.13

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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.