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Finding the Fourth Proportional to 521,465.46, 719,632.53 and 340,293.30

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Solution

The fourth proportional to 521,465.46, 719,632.53 and 340,293.30 is: 469,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,465.46 : 719,632.53 = 340,293.30 : x
  2. Step 2: Convert to fraction form
    521,465.46/719,632.53 = 340,293.30/x
  3. Step 3: Cross multiply
    521,465.46x = 719,632.53 × 340,293.30
  4. Step 4: Simplify right side
    521,465.46x = 244,886,128,421.05
  5. Step 5: Solve for x
    x = 244,886,128,421.05/521,465.46
  6. Step 6: Final answer
    x = 469,611.41

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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.