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Finding the Fourth Proportional to 615,643.90, 923,494.65 and 194,952.70

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Solution

The fourth proportional to 615,643.90, 923,494.65 and 194,952.70 is: 292,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,643.90 : 923,494.65 = 194,952.70 : x
  2. Step 2: Convert to fraction form
    615,643.90/923,494.65 = 194,952.70/x
  3. Step 3: Cross multiply
    615,643.90x = 923,494.65 × 194,952.70
  4. Step 4: Simplify right side
    615,643.90x = 180,037,775,453.06
  5. Step 5: Solve for x
    x = 180,037,775,453.06/615,643.90
  6. Step 6: Final answer
    x = 292,438.17

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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.