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Finding the Fourth Proportional to 510,864.57, 705,014.97 and 284,510.07

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Solution

The fourth proportional to 510,864.57, 705,014.97 and 284,510.07 is: 392,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,864.57 : 705,014.97 = 284,510.07 : x
  2. Step 2: Convert to fraction form
    510,864.57/705,014.97 = 284,510.07/x
  3. Step 3: Cross multiply
    510,864.57x = 705,014.97 × 284,510.07
  4. Step 4: Simplify right side
    510,864.57x = 200,583,858,465.75
  5. Step 5: Solve for x
    x = 200,583,858,465.75/510,864.57
  6. Step 6: Final answer
    x = 392,636.07

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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.