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Finding the Fourth Proportional to 315,021, 470,523.05 and 284,988.93

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Solution

The fourth proportional to 315,021, 470,523.05 and 284,988.93 is: 425,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,021 : 470,523.05 = 284,988.93 : x
  2. Step 2: Convert to fraction form
    315,021/470,523.05 = 284,988.93/x
  3. Step 3: Cross multiply
    315,021x = 470,523.05 × 284,988.93
  4. Step 4: Simplify right side
    315,021x = 134,093,859,134.89
  5. Step 5: Solve for x
    x = 134,093,859,134.89/315,021
  6. Step 6: Final answer
    x = 425,666.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.