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Finding the Fourth Proportional to 286,988.88, 430,494.18 and 146,583.48

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Solution

The fourth proportional to 286,988.88, 430,494.18 and 146,583.48 is: 219,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,988.88 : 430,494.18 = 146,583.48 : x
  2. Step 2: Convert to fraction form
    286,988.88/430,494.18 = 146,583.48/x
  3. Step 3: Cross multiply
    286,988.88x = 430,494.18 × 146,583.48
  4. Step 4: Simplify right side
    286,988.88x = 63,103,335,024.15
  5. Step 5: Solve for x
    x = 63,103,335,024.15/286,988.88
  6. Step 6: Final answer
    x = 219,880.77

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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.