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Finding the Fourth Proportional to 315,521.82, 435,417.93 and 172,281.78

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Solution

The fourth proportional to 315,521.82, 435,417.93 and 172,281.78 is: 237,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,521.82 : 435,417.93 = 172,281.78 : x
  2. Step 2: Convert to fraction form
    315,521.82/435,417.93 = 172,281.78/x
  3. Step 3: Cross multiply
    315,521.82x = 435,417.93 × 172,281.78
  4. Step 4: Simplify right side
    315,521.82x = 75,014,576,024.32
  5. Step 5: Solve for x
    x = 75,014,576,024.32/315,521.82
  6. Step 6: Final answer
    x = 237,747.67

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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.