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Finding the Fourth Proportional to 315,457.61, 435,280.12 and 186,378.23

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Solution

The fourth proportional to 315,457.61, 435,280.12 and 186,378.23 is: 257,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,457.61 : 435,280.12 = 186,378.23 : x
  2. Step 2: Convert to fraction form
    315,457.61/435,280.12 = 186,378.23/x
  3. Step 3: Cross multiply
    315,457.61x = 435,280.12 × 186,378.23
  4. Step 4: Simplify right side
    315,457.61x = 81,126,738,942.04
  5. Step 5: Solve for x
    x = 81,126,738,942.04/315,457.61
  6. Step 6: Final answer
    x = 257,171.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.