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Finding the Fourth Proportional to 477,828, 716,742 and 145,404

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Solution

The fourth proportional to 477,828, 716,742 and 145,404 is: 218,106

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,828 : 716,742 = 145,404 : x
  2. Step 2: Convert to fraction form
    477,828/716,742 = 145,404/x
  3. Step 3: Cross multiply
    477,828x = 716,742 × 145,404
  4. Step 4: Simplify right side
    477,828x = 104,217,153,768
  5. Step 5: Solve for x
    x = 104,217,153,768/477,828
  6. Step 6: Final answer
    x = 218,106

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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.