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Finding the Fourth Proportional to 510,880.92, 705,015.66 and 284,526.42

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Solution

The fourth proportional to 510,880.92, 705,015.66 and 284,526.42 is: 392,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,880.92 : 705,015.66 = 284,526.42 : x
  2. Step 2: Convert to fraction form
    510,880.92/705,015.66 = 284,526.42/x
  3. Step 3: Cross multiply
    510,880.92x = 705,015.66 × 284,526.42
  4. Step 4: Simplify right side
    510,880.92x = 200,595,581,783.74
  5. Step 5: Solve for x
    x = 200,595,581,783.74/510,880.92
  6. Step 6: Final answer
    x = 392,646.45

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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.