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Finding the Fourth Proportional to 287,878.93, 430,965.47 and 213,333.67

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Solution

The fourth proportional to 287,878.93, 430,965.47 and 213,333.67 is: 319,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,878.93 : 430,965.47 = 213,333.67 : x
  2. Step 2: Convert to fraction form
    287,878.93/430,965.47 = 213,333.67/x
  3. Step 3: Cross multiply
    287,878.93x = 430,965.47 × 213,333.67
  4. Step 4: Simplify right side
    287,878.93x = 91,939,444,972.38
  5. Step 5: Solve for x
    x = 91,939,444,972.38/287,878.93
  6. Step 6: Final answer
    x = 319,368.44

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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.