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Finding the Fourth Proportional to 456,431.47, 684,709.48 and 190,129.71

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Solution

The fourth proportional to 456,431.47, 684,709.48 and 190,129.71 is: 285,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,431.47 : 684,709.48 = 190,129.71 : x
  2. Step 2: Convert to fraction form
    456,431.47/684,709.48 = 190,129.71/x
  3. Step 3: Cross multiply
    456,431.47x = 684,709.48 × 190,129.71
  4. Step 4: Simplify right side
    456,431.47x = 130,183,610,967.78
  5. Step 5: Solve for x
    x = 130,183,610,967.78/456,431.47
  6. Step 6: Final answer
    x = 285,220.50

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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.