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Finding the Fourth Proportional to 469,880, 648,189.36 and 288,632.76

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Solution

The fourth proportional to 469,880, 648,189.36 and 288,632.76 is: 398,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,880 : 648,189.36 = 288,632.76 : x
  2. Step 2: Convert to fraction form
    469,880/648,189.36 = 288,632.76/x
  3. Step 3: Cross multiply
    469,880x = 648,189.36 × 288,632.76
  4. Step 4: Simplify right side
    469,880x = 187,088,683,979.43
  5. Step 5: Solve for x
    x = 187,088,683,979.43/469,880
  6. Step 6: Final answer
    x = 398,162.69

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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.