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Finding the Fourth Proportional to 287,745.66, 431,884.40 and 145,690.70

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Solution

The fourth proportional to 287,745.66, 431,884.40 and 145,690.70 is: 218,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,745.66 : 431,884.40 = 145,690.70 : x
  2. Step 2: Convert to fraction form
    287,745.66/431,884.40 = 145,690.70/x
  3. Step 3: Cross multiply
    287,745.66x = 431,884.40 × 145,690.70
  4. Step 4: Simplify right side
    287,745.66x = 62,921,537,667.20
  5. Step 5: Solve for x
    x = 62,921,537,667.20/287,745.66
  6. Step 6: Final answer
    x = 218,670.67

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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.