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Finding the Fourth Proportional to 380,346, 524,875.50 and 208,260.84

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Solution

The fourth proportional to 380,346, 524,875.50 and 208,260.84 is: 287,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,346 : 524,875.50 = 208,260.84 : x
  2. Step 2: Convert to fraction form
    380,346/524,875.50 = 208,260.84/x
  3. Step 3: Cross multiply
    380,346x = 524,875.50 × 208,260.84
  4. Step 4: Simplify right side
    380,346x = 109,311,012,525.42
  5. Step 5: Solve for x
    x = 109,311,012,525.42/380,346
  6. Step 6: Final answer
    x = 287,398.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.