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Finding the Fourth Proportional to 285,094.40, 427,643.40 and 74,730.52

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Solution

The fourth proportional to 285,094.40, 427,643.40 and 74,730.52 is: 112,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,094.40 : 427,643.40 = 74,730.52 : x
  2. Step 2: Convert to fraction form
    285,094.40/427,643.40 = 74,730.52/x
  3. Step 3: Cross multiply
    285,094.40x = 427,643.40 × 74,730.52
  4. Step 4: Simplify right side
    285,094.40x = 31,958,013,656.57
  5. Step 5: Solve for x
    x = 31,958,013,656.57/285,094.40
  6. Step 6: Final answer
    x = 112,096.25

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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.