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Finding the Fourth Proportional to 879,836, 1,214,176.92 and 477,428

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Solution

The fourth proportional to 879,836, 1,214,176.92 and 477,428 is: 658,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,836 : 1,214,176.92 = 477,428 : x
  2. Step 2: Convert to fraction form
    879,836/1,214,176.92 = 477,428/x
  3. Step 3: Cross multiply
    879,836x = 1,214,176.92 × 477,428
  4. Step 4: Simplify right side
    879,836x = 579,682,058,561.76
  5. Step 5: Solve for x
    x = 579,682,058,561.76/879,836
  6. Step 6: Final answer
    x = 658,852.40

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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.