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Finding the Fourth Proportional to 407,457.40, 611,184.66 and 126,974.84

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Solution

The fourth proportional to 407,457.40, 611,184.66 and 126,974.84 is: 190,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,457.40 : 611,184.66 = 126,974.84 : x
  2. Step 2: Convert to fraction form
    407,457.40/611,184.66 = 126,974.84/x
  3. Step 3: Cross multiply
    407,457.40x = 611,184.66 × 126,974.84
  4. Step 4: Simplify right side
    407,457.40x = 77,605,074,413.95
  5. Step 5: Solve for x
    x = 77,605,074,413.95/407,457.40
  6. Step 6: Final answer
    x = 190,461.81

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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.