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Finding the Fourth Proportional to 510,660.12, 704,667.42 and 284,326.68

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Solution

The fourth proportional to 510,660.12, 704,667.42 and 284,326.68 is: 392,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,660.12 : 704,667.42 = 284,326.68 : x
  2. Step 2: Convert to fraction form
    510,660.12/704,667.42 = 284,326.68/x
  3. Step 3: Cross multiply
    510,660.12x = 704,667.42 × 284,326.68
  4. Step 4: Simplify right side
    510,660.12x = 200,355,748,032.77
  5. Step 5: Solve for x
    x = 200,355,748,032.77/510,660.12
  6. Step 6: Final answer
    x = 392,346.57

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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.