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Finding the Fourth Proportional to 513,578.60, 708,706.32 and 284,130.44

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Solution

The fourth proportional to 513,578.60, 708,706.32 and 284,130.44 is: 392,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,578.60 : 708,706.32 = 284,130.44 : x
  2. Step 2: Convert to fraction form
    513,578.60/708,706.32 = 284,130.44/x
  3. Step 3: Cross multiply
    513,578.60x = 708,706.32 × 284,130.44
  4. Step 4: Simplify right side
    513,578.60x = 201,365,038,532.38
  5. Step 5: Solve for x
    x = 201,365,038,532.38/513,578.60
  6. Step 6: Final answer
    x = 392,082.22

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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.