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Finding the Fourth Proportional to 561,816, 775,320.12 and 341,055.90

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Solution

The fourth proportional to 561,816, 775,320.12 and 341,055.90 is: 470,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,816 : 775,320.12 = 341,055.90 : x
  2. Step 2: Convert to fraction form
    561,816/775,320.12 = 341,055.90/x
  3. Step 3: Cross multiply
    561,816x = 775,320.12 × 341,055.90
  4. Step 4: Simplify right side
    561,816x = 264,427,501,314.71
  5. Step 5: Solve for x
    x = 264,427,501,314.71/561,816
  6. Step 6: Final answer
    x = 470,665.67

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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.