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Finding the Fourth Proportional to 515,006.42, 772,362 and 155,212.11

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Solution

The fourth proportional to 515,006.42, 772,362 and 155,212.11 is: 232,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,006.42 : 772,362 = 155,212.11 : x
  2. Step 2: Convert to fraction form
    515,006.42/772,362 = 155,212.11/x
  3. Step 3: Cross multiply
    515,006.42x = 772,362 × 155,212.11
  4. Step 4: Simplify right side
    515,006.42x = 119,879,935,703.82
  5. Step 5: Solve for x
    x = 119,879,935,703.82/515,006.42
  6. Step 6: Final answer
    x = 232,773.67

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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.