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Finding the Fourth Proportional to 440,420.48, 607,609.32 and 311,548.40

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Solution

The fourth proportional to 440,420.48, 607,609.32 and 311,548.40 is: 429,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,420.48 : 607,609.32 = 311,548.40 : x
  2. Step 2: Convert to fraction form
    440,420.48/607,609.32 = 311,548.40/x
  3. Step 3: Cross multiply
    440,420.48x = 607,609.32 × 311,548.40
  4. Step 4: Simplify right side
    440,420.48x = 189,299,711,471.09
  5. Step 5: Solve for x
    x = 189,299,711,471.09/440,420.48
  6. Step 6: Final answer
    x = 429,815.87

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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.