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Finding the Fourth Proportional to 518,639.96, 778,255.02 and 414,123.08

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Solution

The fourth proportional to 518,639.96, 778,255.02 and 414,123.08 is: 621,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,639.96 : 778,255.02 = 414,123.08 : x
  2. Step 2: Convert to fraction form
    518,639.96/778,255.02 = 414,123.08/x
  3. Step 3: Cross multiply
    518,639.96x = 778,255.02 × 414,123.08
  4. Step 4: Simplify right side
    518,639.96x = 322,293,365,907.86
  5. Step 5: Solve for x
    x = 322,293,365,907.86/518,639.96
  6. Step 6: Final answer
    x = 621,420.24

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1.5x scale

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.