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Finding the Fourth Proportional to 210,916.92, 290,762.64 and 150,382.56

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Solution

The fourth proportional to 210,916.92, 290,762.64 and 150,382.56 is: 207,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,916.92 : 290,762.64 = 150,382.56 : x
  2. Step 2: Convert to fraction form
    210,916.92/290,762.64 = 150,382.56/x
  3. Step 3: Cross multiply
    210,916.92x = 290,762.64 × 150,382.56
  4. Step 4: Simplify right side
    210,916.92x = 43,725,630,155.56
  5. Step 5: Solve for x
    x = 43,725,630,155.56/210,916.92
  6. Step 6: Final answer
    x = 207,312.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.