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Finding the Fourth Proportional to 879,834, 1,214,174.16 and 477,426

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Solution

The fourth proportional to 879,834, 1,214,174.16 and 477,426 is: 658,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,834 : 1,214,174.16 = 477,426 : x
  2. Step 2: Convert to fraction form
    879,834/1,214,174.16 = 477,426/x
  3. Step 3: Cross multiply
    879,834x = 1,214,174.16 × 477,426
  4. Step 4: Simplify right side
    879,834x = 579,678,312,512.16
  5. Step 5: Solve for x
    x = 579,678,312,512.16/879,834
  6. Step 6: Final answer
    x = 658,849.64

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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.