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Finding the Fourth Proportional to 305,038.17, 420,941.80 and 169,084.83

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Solution

The fourth proportional to 305,038.17, 420,941.80 and 169,084.83 is: 233,331.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,038.17 : 420,941.80 = 169,084.83 : x
  2. Step 2: Convert to fraction form
    305,038.17/420,941.80 = 169,084.83/x
  3. Step 3: Cross multiply
    305,038.17x = 420,941.80 × 169,084.83
  4. Step 4: Simplify right side
    305,038.17x = 71,174,872,692.89
  5. Step 5: Solve for x
    x = 71,174,872,692.89/305,038.17
  6. Step 6: Final answer
    x = 233,331.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.