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Finding the Fourth Proportional to 346,851, 520,276.50 and 84,195

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Solution

The fourth proportional to 346,851, 520,276.50 and 84,195 is: 126,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,851 : 520,276.50 = 84,195 : x
  2. Step 2: Convert to fraction form
    346,851/520,276.50 = 84,195/x
  3. Step 3: Cross multiply
    346,851x = 520,276.50 × 84,195
  4. Step 4: Simplify right side
    346,851x = 43,804,679,917.50
  5. Step 5: Solve for x
    x = 43,804,679,917.50/346,851
  6. Step 6: Final answer
    x = 126,292.50

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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.