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Finding the Fourth Proportional to 340,398.56, 509,988.72 and 190,464.32

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Solution

The fourth proportional to 340,398.56, 509,988.72 and 190,464.32 is: 285,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,398.56 : 509,988.72 = 190,464.32 : x
  2. Step 2: Convert to fraction form
    340,398.56/509,988.72 = 190,464.32/x
  3. Step 3: Cross multiply
    340,398.56x = 509,988.72 × 190,464.32
  4. Step 4: Simplify right side
    340,398.56x = 97,134,654,762.47
  5. Step 5: Solve for x
    x = 97,134,654,762.47/340,398.56
  6. Step 6: Final answer
    x = 285,355.66

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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.