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Finding the Fourth Proportional to 306,010.40, 458,468.85 and 147,890.30

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Solution

The fourth proportional to 306,010.40, 458,468.85 and 147,890.30 is: 221,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,010.40 : 458,468.85 = 147,890.30 : x
  2. Step 2: Convert to fraction form
    306,010.40/458,468.85 = 147,890.30/x
  3. Step 3: Cross multiply
    306,010.40x = 458,468.85 × 147,890.30
  4. Step 4: Simplify right side
    306,010.40x = 67,803,095,767.16
  5. Step 5: Solve for x
    x = 67,803,095,767.16/306,010.40
  6. Step 6: Final answer
    x = 221,571.21

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1.5x scale

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.