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Finding the Fourth Proportional to 430,710, 646,094.66 and 146,284.44

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Solution

The fourth proportional to 430,710, 646,094.66 and 146,284.44 is: 219,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,710 : 646,094.66 = 146,284.44 : x
  2. Step 2: Convert to fraction form
    430,710/646,094.66 = 146,284.44/x
  3. Step 3: Cross multiply
    430,710x = 646,094.66 × 146,284.44
  4. Step 4: Simplify right side
    430,710x = 94,513,594,793.67
  5. Step 5: Solve for x
    x = 94,513,594,793.67/430,710
  6. Step 6: Final answer
    x = 219,436.73

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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.