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Finding the Fourth Proportional to 514,448.80, 709,939.16 and 285,020.96

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Solution

The fourth proportional to 514,448.80, 709,939.16 and 285,020.96 is: 393,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,448.80 : 709,939.16 = 285,020.96 : x
  2. Step 2: Convert to fraction form
    514,448.80/709,939.16 = 285,020.96/x
  3. Step 3: Cross multiply
    514,448.80x = 709,939.16 × 285,020.96
  4. Step 4: Simplify right side
    514,448.80x = 202,347,540,924.79
  5. Step 5: Solve for x
    x = 202,347,540,924.79/514,448.80
  6. Step 6: Final answer
    x = 393,328.82

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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.