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Finding the Fourth Proportional to 409,628, 614,545.68 and 114,140

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Solution

The fourth proportional to 409,628, 614,545.68 and 114,140 is: 171,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,628 : 614,545.68 = 114,140 : x
  2. Step 2: Convert to fraction form
    409,628/614,545.68 = 114,140/x
  3. Step 3: Cross multiply
    409,628x = 614,545.68 × 114,140
  4. Step 4: Simplify right side
    409,628x = 70,144,243,915.20
  5. Step 5: Solve for x
    x = 70,144,243,915.20/409,628
  6. Step 6: Final answer
    x = 171,238.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.