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Finding the Fourth Proportional to 286,897.50, 430,415.37 and 89,905.50

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Solution

The fourth proportional to 286,897.50, 430,415.37 and 89,905.50 is: 134,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,897.50 : 430,415.37 = 89,905.50 : x
  2. Step 2: Convert to fraction form
    286,897.50/430,415.37 = 89,905.50/x
  3. Step 3: Cross multiply
    286,897.50x = 430,415.37 × 89,905.50
  4. Step 4: Simplify right side
    286,897.50x = 38,696,709,047.54
  5. Step 5: Solve for x
    x = 38,696,709,047.54/286,897.50
  6. Step 6: Final answer
    x = 134,879.91

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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.