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Finding the Fourth Proportional to 282,692.32, 390,098.91 and 155,368.02

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Solution

The fourth proportional to 282,692.32, 390,098.91 and 155,368.02 is: 214,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,692.32 : 390,098.91 = 155,368.02 : x
  2. Step 2: Convert to fraction form
    282,692.32/390,098.91 = 155,368.02/x
  3. Step 3: Cross multiply
    282,692.32x = 390,098.91 × 155,368.02
  4. Step 4: Simplify right side
    282,692.32x = 60,608,895,250.86
  5. Step 5: Solve for x
    x = 60,608,895,250.86/282,692.32
  6. Step 6: Final answer
    x = 214,398.80

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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.