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Finding the Fourth Proportional to 478,137.32, 716,998.62 and 162,509.48

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Solution

The fourth proportional to 478,137.32, 716,998.62 and 162,509.48 is: 243,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,137.32 : 716,998.62 = 162,509.48 : x
  2. Step 2: Convert to fraction form
    478,137.32/716,998.62 = 162,509.48/x
  3. Step 3: Cross multiply
    478,137.32x = 716,998.62 × 162,509.48
  4. Step 4: Simplify right side
    478,137.32x = 116,519,072,896.92
  5. Step 5: Solve for x
    x = 116,519,072,896.92/478,137.32
  6. Step 6: Final answer
    x = 243,693.74

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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.