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Finding the Fourth Proportional to 407,630.94, 611,485.29 and 158,332.38

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Solution

The fourth proportional to 407,630.94, 611,485.29 and 158,332.38 is: 237,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,630.94 : 611,485.29 = 158,332.38 : x
  2. Step 2: Convert to fraction form
    407,630.94/611,485.29 = 158,332.38/x
  3. Step 3: Cross multiply
    407,630.94x = 611,485.29 × 158,332.38
  4. Step 4: Simplify right side
    407,630.94x = 96,817,921,300.69
  5. Step 5: Solve for x
    x = 96,817,921,300.69/407,630.94
  6. Step 6: Final answer
    x = 237,513.67

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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.