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Finding the Fourth Proportional to 287,166.24, 430,818.72 and 90,174.24

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Solution

The fourth proportional to 287,166.24, 430,818.72 and 90,174.24 is: 135,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,166.24 : 430,818.72 = 90,174.24 : x
  2. Step 2: Convert to fraction form
    287,166.24/430,818.72 = 90,174.24/x
  3. Step 3: Cross multiply
    287,166.24x = 430,818.72 × 90,174.24
  4. Step 4: Simplify right side
    287,166.24x = 38,848,750,653.77
  5. Step 5: Solve for x
    x = 38,848,750,653.77/287,166.24
  6. Step 6: Final answer
    x = 135,283.14

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1.5x scale

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.