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Finding the Fourth Proportional to 510,659.37, 704,666.39 and 284,325.93

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Solution

The fourth proportional to 510,659.37, 704,666.39 and 284,325.93 is: 392,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,659.37 : 704,666.39 = 284,325.93 : x
  2. Step 2: Convert to fraction form
    510,659.37/704,666.39 = 284,325.93/x
  3. Step 3: Cross multiply
    510,659.37x = 704,666.39 × 284,325.93
  4. Step 4: Simplify right side
    510,659.37x = 200,354,925,254.86
  5. Step 5: Solve for x
    x = 200,354,925,254.86/510,659.37
  6. Step 6: Final answer
    x = 392,345.54

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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.