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Finding the Fourth Proportional to 407,807.70, 611,717.70 and 141,576.67

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Solution

The fourth proportional to 407,807.70, 611,717.70 and 141,576.67 is: 212,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,807.70 : 611,717.70 = 141,576.67 : x
  2. Step 2: Convert to fraction form
    407,807.70/611,717.70 = 141,576.67/x
  3. Step 3: Cross multiply
    407,807.70x = 611,717.70 × 141,576.67
  4. Step 4: Simplify right side
    407,807.70x = 86,604,953,326.61
  5. Step 5: Solve for x
    x = 86,604,953,326.61/407,807.70
  6. Step 6: Final answer
    x = 212,367.14

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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.