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Finding the Fourth Proportional to 472,676.12, 652,300.74 and 257,816.14

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Solution

The fourth proportional to 472,676.12, 652,300.74 and 257,816.14 is: 355,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,676.12 : 652,300.74 = 257,816.14 : x
  2. Step 2: Convert to fraction form
    472,676.12/652,300.74 = 257,816.14/x
  3. Step 3: Cross multiply
    472,676.12x = 652,300.74 × 257,816.14
  4. Step 4: Simplify right side
    472,676.12x = 168,173,658,905.94
  5. Step 5: Solve for x
    x = 168,173,658,905.94/472,676.12
  6. Step 6: Final answer
    x = 355,790.47

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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.