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Finding the Fourth Proportional to 256,962.60, 385,881.30 and 190,477.80

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Solution

The fourth proportional to 256,962.60, 385,881.30 and 190,477.80 is: 286,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,962.60 : 385,881.30 = 190,477.80 : x
  2. Step 2: Convert to fraction form
    256,962.60/385,881.30 = 190,477.80/x
  3. Step 3: Cross multiply
    256,962.60x = 385,881.30 × 190,477.80
  4. Step 4: Simplify right side
    256,962.60x = 73,501,821,085.14
  5. Step 5: Solve for x
    x = 73,501,821,085.14/256,962.60
  6. Step 6: Final answer
    x = 286,040.93

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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.