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Finding the Fourth Proportional to 460,396.42, 690,594.64 and 434,407.30

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Solution

The fourth proportional to 460,396.42, 690,594.64 and 434,407.30 is: 651,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,396.42 : 690,594.64 = 434,407.30 : x
  2. Step 2: Convert to fraction form
    460,396.42/690,594.64 = 434,407.30/x
  3. Step 3: Cross multiply
    460,396.42x = 690,594.64 × 434,407.30
  4. Step 4: Simplify right side
    460,396.42x = 299,999,352,956.87
  5. Step 5: Solve for x
    x = 299,999,352,956.87/460,396.42
  6. Step 6: Final answer
    x = 651,610.96

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Similar ratio
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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.