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Finding the Fourth Proportional to 470,927.52, 649,888.11 and 256,068.90

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Solution

The fourth proportional to 470,927.52, 649,888.11 and 256,068.90 is: 353,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,927.52 : 649,888.11 = 256,068.90 : x
  2. Step 2: Convert to fraction form
    470,927.52/649,888.11 = 256,068.90/x
  3. Step 3: Cross multiply
    470,927.52x = 649,888.11 × 256,068.90
  4. Step 4: Simplify right side
    470,927.52x = 166,416,133,450.78
  5. Step 5: Solve for x
    x = 166,416,133,450.78/470,927.52
  6. Step 6: Final answer
    x = 353,379.50

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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.