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Finding the Fourth Proportional to 402,744.80, 604,205.04 and 122,284

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Solution

The fourth proportional to 402,744.80, 604,205.04 and 122,284 is: 183,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,744.80 : 604,205.04 = 122,284 : x
  2. Step 2: Convert to fraction form
    402,744.80/604,205.04 = 122,284/x
  3. Step 3: Cross multiply
    402,744.80x = 604,205.04 × 122,284
  4. Step 4: Simplify right side
    402,744.80x = 73,884,609,111.36
  5. Step 5: Solve for x
    x = 73,884,609,111.36/402,744.80
  6. Step 6: Final answer
    x = 183,452.67

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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.