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Finding the Fourth Proportional to 518,880.80, 778,904.40 and 401,074.40

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Solution

The fourth proportional to 518,880.80, 778,904.40 and 401,074.40 is: 602,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,880.80 : 778,904.40 = 401,074.40 : x
  2. Step 2: Convert to fraction form
    518,880.80/778,904.40 = 401,074.40/x
  3. Step 3: Cross multiply
    518,880.80x = 778,904.40 × 401,074.40
  4. Step 4: Simplify right side
    518,880.80x = 312,398,614,887.36
  5. Step 5: Solve for x
    x = 312,398,614,887.36/518,880.80
  6. Step 6: Final answer
    x = 602,062.39

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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.