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Finding the Fourth Proportional to 456,430.72, 684,708.35 and 190,128.95

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Solution

The fourth proportional to 456,430.72, 684,708.35 and 190,128.95 is: 285,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,430.72 : 684,708.35 = 190,128.95 : x
  2. Step 2: Convert to fraction form
    456,430.72/684,708.35 = 190,128.95/x
  3. Step 3: Cross multiply
    456,430.72x = 684,708.35 × 190,128.95
  4. Step 4: Simplify right side
    456,430.72x = 130,182,882,447.05
  5. Step 5: Solve for x
    x = 130,182,882,447.05/456,430.72
  6. Step 6: Final answer
    x = 285,219.37

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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.