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Finding the Fourth Proportional to 514,450.65, 709,946.87 and 285,012.81

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Solution

The fourth proportional to 514,450.65, 709,946.87 and 285,012.81 is: 393,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,450.65 : 709,946.87 = 285,012.81 : x
  2. Step 2: Convert to fraction form
    514,450.65/709,946.87 = 285,012.81/x
  3. Step 3: Cross multiply
    514,450.65x = 709,946.87 × 285,012.81
  4. Step 4: Simplify right side
    514,450.65x = 202,343,952,369.41
  5. Step 5: Solve for x
    x = 202,343,952,369.41/514,450.65
  6. Step 6: Final answer
    x = 393,320.43

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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.