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Finding the Fourth Proportional to 434,892.84, 651,276.18 and 256,871.40

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Solution

The fourth proportional to 434,892.84, 651,276.18 and 256,871.40 is: 384,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,892.84 : 651,276.18 = 256,871.40 : x
  2. Step 2: Convert to fraction form
    434,892.84/651,276.18 = 256,871.40/x
  3. Step 3: Cross multiply
    434,892.84x = 651,276.18 × 256,871.40
  4. Step 4: Simplify right side
    434,892.84x = 167,294,224,143.25
  5. Step 5: Solve for x
    x = 167,294,224,143.25/434,892.84
  6. Step 6: Final answer
    x = 384,679.19

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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.