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Finding the Fourth Proportional to 510,906.60, 705,051.09 and 284,552.10

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Solution

The fourth proportional to 510,906.60, 705,051.09 and 284,552.10 is: 392,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,906.60 : 705,051.09 = 284,552.10 : x
  2. Step 2: Convert to fraction form
    510,906.60/705,051.09 = 284,552.10/x
  3. Step 3: Cross multiply
    510,906.60x = 705,051.09 × 284,552.10
  4. Step 4: Simplify right side
    510,906.60x = 200,623,768,266.79
  5. Step 5: Solve for x
    x = 200,623,768,266.79/510,906.60
  6. Step 6: Final answer
    x = 392,681.89

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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.