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Finding the Fourth Proportional to 305,756.16, 421,190.40 and 260,288.16

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Solution

The fourth proportional to 305,756.16, 421,190.40 and 260,288.16 is: 358,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,756.16 : 421,190.40 = 260,288.16 : x
  2. Step 2: Convert to fraction form
    305,756.16/421,190.40 = 260,288.16/x
  3. Step 3: Cross multiply
    305,756.16x = 421,190.40 × 260,288.16
  4. Step 4: Simplify right side
    305,756.16x = 109,630,874,225.66
  5. Step 5: Solve for x
    x = 109,630,874,225.66/305,756.16
  6. Step 6: Final answer
    x = 358,556.55

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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.