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Finding the Fourth Proportional to 589,407, 884,110.50 and 215,430

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Solution

The fourth proportional to 589,407, 884,110.50 and 215,430 is: 323,145

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,407 : 884,110.50 = 215,430 : x
  2. Step 2: Convert to fraction form
    589,407/884,110.50 = 215,430/x
  3. Step 3: Cross multiply
    589,407x = 884,110.50 × 215,430
  4. Step 4: Simplify right side
    589,407x = 190,463,925,015
  5. Step 5: Solve for x
    x = 190,463,925,015/589,407
  6. Step 6: Final answer
    x = 323,145

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.