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Finding the Fourth Proportional to 284,541.63, 392,666.64 and 157,216.32

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Solution

The fourth proportional to 284,541.63, 392,666.64 and 157,216.32 is: 216,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,541.63 : 392,666.64 = 157,216.32 : x
  2. Step 2: Convert to fraction form
    284,541.63/392,666.64 = 157,216.32/x
  3. Step 3: Cross multiply
    284,541.63x = 392,666.64 × 157,216.32
  4. Step 4: Simplify right side
    284,541.63x = 61,733,604,127.56
  5. Step 5: Solve for x
    x = 61,733,604,127.56/284,541.63
  6. Step 6: Final answer
    x = 216,958.07

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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.