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Finding the Fourth Proportional to 302,678.40, 454,276.80 and 134,457.60

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Solution

The fourth proportional to 302,678.40, 454,276.80 and 134,457.60 is: 201,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,678.40 : 454,276.80 = 134,457.60 : x
  2. Step 2: Convert to fraction form
    302,678.40/454,276.80 = 134,457.60/x
  3. Step 3: Cross multiply
    302,678.40x = 454,276.80 × 134,457.60
  4. Step 4: Simplify right side
    302,678.40x = 61,080,968,263.68
  5. Step 5: Solve for x
    x = 61,080,968,263.68/302,678.40
  6. Step 6: Final answer
    x = 201,801.54

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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.