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Finding the Fourth Proportional to 434,047.70, 650,852.85 and 256,609.10

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Solution

The fourth proportional to 434,047.70, 650,852.85 and 256,609.10 is: 384,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,047.70 : 650,852.85 = 256,609.10 : x
  2. Step 2: Convert to fraction form
    434,047.70/650,852.85 = 256,609.10/x
  3. Step 3: Cross multiply
    434,047.70x = 650,852.85 × 256,609.10
  4. Step 4: Simplify right side
    434,047.70x = 167,014,764,070.94
  5. Step 5: Solve for x
    x = 167,014,764,070.94/434,047.70
  6. Step 6: Final answer
    x = 384,784.35

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1.5x scale

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.