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Finding the Fourth Proportional to 282,692.94, 390,099.78 and 155,368.64

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Solution

The fourth proportional to 282,692.94, 390,099.78 and 155,368.64 is: 214,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,692.94 : 390,099.78 = 155,368.64 : x
  2. Step 2: Convert to fraction form
    282,692.94/390,099.78 = 155,368.64/x
  3. Step 3: Cross multiply
    282,692.94x = 390,099.78 × 155,368.64
  4. Step 4: Simplify right side
    282,692.94x = 60,609,272,282.90
  5. Step 5: Solve for x
    x = 60,609,272,282.90/282,692.94
  6. Step 6: Final answer
    x = 214,399.67

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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.