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Finding the Fourth Proportional to 420,697, 631,045.50 and 125,209

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Solution

The fourth proportional to 420,697, 631,045.50 and 125,209 is: 187,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,697 : 631,045.50 = 125,209 : x
  2. Step 2: Convert to fraction form
    420,697/631,045.50 = 125,209/x
  3. Step 3: Cross multiply
    420,697x = 631,045.50 × 125,209
  4. Step 4: Simplify right side
    420,697x = 79,012,576,009.50
  5. Step 5: Solve for x
    x = 79,012,576,009.50/420,697
  6. Step 6: Final answer
    x = 187,813.50

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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.