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Finding the Fourth Proportional to 434,409.16, 651,409.26 and 168,294.28

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Solution

The fourth proportional to 434,409.16, 651,409.26 and 168,294.28 is: 252,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,409.16 : 651,409.26 = 168,294.28 : x
  2. Step 2: Convert to fraction form
    434,409.16/651,409.26 = 168,294.28/x
  3. Step 3: Cross multiply
    434,409.16x = 651,409.26 × 168,294.28
  4. Step 4: Simplify right side
    434,409.16x = 109,628,452,397.03
  5. Step 5: Solve for x
    x = 109,628,452,397.03/434,409.16
  6. Step 6: Final answer
    x = 252,362.20

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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.