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Finding the Fourth Proportional to 405,016.60, 607,524.90 and 286,821.40

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Solution

The fourth proportional to 405,016.60, 607,524.90 and 286,821.40 is: 430,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,016.60 : 607,524.90 = 286,821.40 : x
  2. Step 2: Convert to fraction form
    405,016.60/607,524.90 = 286,821.40/x
  3. Step 3: Cross multiply
    405,016.60x = 607,524.90 × 286,821.40
  4. Step 4: Simplify right side
    405,016.60x = 174,251,142,352.86
  5. Step 5: Solve for x
    x = 174,251,142,352.86/405,016.60
  6. Step 6: Final answer
    x = 430,232.10

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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.