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Finding the Fourth Proportional to 518,938.24, 716,136 and 280,474.24

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Solution

The fourth proportional to 518,938.24, 716,136 and 280,474.24 is: 387,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,938.24 : 716,136 = 280,474.24 : x
  2. Step 2: Convert to fraction form
    518,938.24/716,136 = 280,474.24/x
  3. Step 3: Cross multiply
    518,938.24x = 716,136 × 280,474.24
  4. Step 4: Simplify right side
    518,938.24x = 200,857,700,336.64
  5. Step 5: Solve for x
    x = 200,857,700,336.64/518,938.24
  6. Step 6: Final answer
    x = 387,055.12

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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.