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Finding the Fourth Proportional to 346,855, 520,282.52 and 84,199

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Solution

The fourth proportional to 346,855, 520,282.52 and 84,199 is: 126,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,855 : 520,282.52 = 84,199 : x
  2. Step 2: Convert to fraction form
    346,855/520,282.52 = 84,199/x
  3. Step 3: Cross multiply
    346,855x = 520,282.52 × 84,199
  4. Step 4: Simplify right side
    346,855x = 43,807,267,901.48
  5. Step 5: Solve for x
    x = 43,807,267,901.48/346,855
  6. Step 6: Final answer
    x = 126,298.50

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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.