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Finding the Fourth Proportional to 340,012.64, 509,552.40 and 215,130.08

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Solution

The fourth proportional to 340,012.64, 509,552.40 and 215,130.08 is: 322,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,012.64 : 509,552.40 = 215,130.08 : x
  2. Step 2: Convert to fraction form
    340,012.64/509,552.40 = 215,130.08/x
  3. Step 3: Cross multiply
    340,012.64x = 509,552.40 × 215,130.08
  4. Step 4: Simplify right side
    340,012.64x = 109,620,048,576.19
  5. Step 5: Solve for x
    x = 109,620,048,576.19/340,012.64
  6. Step 6: Final answer
    x = 322,399.92

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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.