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Finding the Fourth Proportional to 398,051.70, 597,077.55 and 256,334.10

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Solution

The fourth proportional to 398,051.70, 597,077.55 and 256,334.10 is: 384,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,051.70 : 597,077.55 = 256,334.10 : x
  2. Step 2: Convert to fraction form
    398,051.70/597,077.55 = 256,334.10/x
  3. Step 3: Cross multiply
    398,051.70x = 597,077.55 × 256,334.10
  4. Step 4: Simplify right side
    398,051.70x = 153,051,336,409.46
  5. Step 5: Solve for x
    x = 153,051,336,409.46/398,051.70
  6. Step 6: Final answer
    x = 384,501.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.