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Finding the Fourth Proportional to 340,410, 510,848.28 and 118,794

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Solution

The fourth proportional to 340,410, 510,848.28 and 118,794 is: 178,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,410 : 510,848.28 = 118,794 : x
  2. Step 2: Convert to fraction form
    340,410/510,848.28 = 118,794/x
  3. Step 3: Cross multiply
    340,410x = 510,848.28 × 118,794
  4. Step 4: Simplify right side
    340,410x = 60,685,710,574.32
  5. Step 5: Solve for x
    x = 60,685,710,574.32/340,410
  6. Step 6: Final answer
    x = 178,272.41

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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.