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Finding the Fourth Proportional to 282,457.60, 389,678.80 and 180,456.61

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Solution

The fourth proportional to 282,457.60, 389,678.80 and 180,456.61 is: 248,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,457.60 : 389,678.80 = 180,456.61 : x
  2. Step 2: Convert to fraction form
    282,457.60/389,678.80 = 180,456.61/x
  3. Step 3: Cross multiply
    282,457.60x = 389,678.80 × 180,456.61
  4. Step 4: Simplify right side
    282,457.60x = 70,320,114,880.53
  5. Step 5: Solve for x
    x = 70,320,114,880.53/282,457.60
  6. Step 6: Final answer
    x = 248,958.13

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1.5x scale

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.