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Finding the Fourth Proportional to 510,406.60, 704,346.40 and 284,047.24

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Solution

The fourth proportional to 510,406.60, 704,346.40 and 284,047.24 is: 391,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,406.60 : 704,346.40 = 284,047.24 : x
  2. Step 2: Convert to fraction form
    510,406.60/704,346.40 = 284,047.24/x
  3. Step 3: Cross multiply
    510,406.60x = 704,346.40 × 284,047.24
  4. Step 4: Simplify right side
    510,406.60x = 200,067,650,923.94
  5. Step 5: Solve for x
    x = 200,067,650,923.94/510,406.60
  6. Step 6: Final answer
    x = 391,977.01

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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.