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Finding the Fourth Proportional to 434,643.57, 651,805.65 and 150,261.21

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Solution

The fourth proportional to 434,643.57, 651,805.65 and 150,261.21 is: 225,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,643.57 : 651,805.65 = 150,261.21 : x
  2. Step 2: Convert to fraction form
    434,643.57/651,805.65 = 150,261.21/x
  3. Step 3: Cross multiply
    434,643.57x = 651,805.65 × 150,261.21
  4. Step 4: Simplify right side
    434,643.57x = 97,941,105,653.84
  5. Step 5: Solve for x
    x = 97,941,105,653.84/434,643.57
  6. Step 6: Final answer
    x = 225,336.60

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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.