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Finding the Fourth Proportional to 404,428.80, 606,643.20 and 278,457.60

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Solution

The fourth proportional to 404,428.80, 606,643.20 and 278,457.60 is: 417,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,428.80 : 606,643.20 = 278,457.60 : x
  2. Step 2: Convert to fraction form
    404,428.80/606,643.20 = 278,457.60/x
  3. Step 3: Cross multiply
    404,428.80x = 606,643.20 × 278,457.60
  4. Step 4: Simplify right side
    404,428.80x = 168,924,409,528.32
  5. Step 5: Solve for x
    x = 168,924,409,528.32/404,428.80
  6. Step 6: Final answer
    x = 417,686.40

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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.