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Finding the Fourth Proportional to 402,384, 603,669.36 and 118,063.08

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Solution

The fourth proportional to 402,384, 603,669.36 and 118,063.08 is: 177,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,384 : 603,669.36 = 118,063.08 : x
  2. Step 2: Convert to fraction form
    402,384/603,669.36 = 118,063.08/x
  3. Step 3: Cross multiply
    402,384x = 603,669.36 × 118,063.08
  4. Step 4: Simplify right side
    402,384x = 71,271,063,943.23
  5. Step 5: Solve for x
    x = 71,271,063,943.23/402,384
  6. Step 6: Final answer
    x = 177,122.01

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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.