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Finding the Fourth Proportional to 509,427.40, 702,791.76 and 318,108.64

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Solution

The fourth proportional to 509,427.40, 702,791.76 and 318,108.64 is: 438,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,427.40 : 702,791.76 = 318,108.64 : x
  2. Step 2: Convert to fraction form
    509,427.40/702,791.76 = 318,108.64/x
  3. Step 3: Cross multiply
    509,427.40x = 702,791.76 × 318,108.64
  4. Step 4: Simplify right side
    509,427.40x = 223,564,130,976.81
  5. Step 5: Solve for x
    x = 223,564,130,976.81/509,427.40
  6. Step 6: Final answer
    x = 438,853.76

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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.