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Finding the Fourth Proportional to 648,034.56, 972,051.84 and 204,768

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Solution

The fourth proportional to 648,034.56, 972,051.84 and 204,768 is: 307,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,034.56 : 972,051.84 = 204,768 : x
  2. Step 2: Convert to fraction form
    648,034.56/972,051.84 = 204,768/x
  3. Step 3: Cross multiply
    648,034.56x = 972,051.84 × 204,768
  4. Step 4: Simplify right side
    648,034.56x = 199,045,111,173.12
  5. Step 5: Solve for x
    x = 199,045,111,173.12/648,034.56
  6. Step 6: Final answer
    x = 307,152.00

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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.