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Finding the Fourth Proportional to 304,313.85, 419,965.47 and 168,345.45

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Solution

The fourth proportional to 304,313.85, 419,965.47 and 168,345.45 is: 232,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,313.85 : 419,965.47 = 168,345.45 : x
  2. Step 2: Convert to fraction form
    304,313.85/419,965.47 = 168,345.45/x
  3. Step 3: Cross multiply
    304,313.85x = 419,965.47 × 168,345.45
  4. Step 4: Simplify right side
    304,313.85x = 70,699,273,931.78
  5. Step 5: Solve for x
    x = 70,699,273,931.78/304,313.85
  6. Step 6: Final answer
    x = 232,323.55

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1.5x scale

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.