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Finding the Fourth Proportional to 287,163.90, 430,785.14 and 97,573.28

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Solution

The fourth proportional to 287,163.90, 430,785.14 and 97,573.28 is: 146,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,163.90 : 430,785.14 = 97,573.28 : x
  2. Step 2: Convert to fraction form
    287,163.90/430,785.14 = 97,573.28/x
  3. Step 3: Cross multiply
    287,163.90x = 430,785.14 × 97,573.28
  4. Step 4: Simplify right side
    287,163.90x = 42,033,116,443.27
  5. Step 5: Solve for x
    x = 42,033,116,443.27/287,163.90
  6. Step 6: Final answer
    x = 146,373.26

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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.