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Finding the Fourth Proportional to 284,946.90, 393,192.47 and 164,127.48

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Solution

The fourth proportional to 284,946.90, 393,192.47 and 164,127.48 is: 226,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,946.90 : 393,192.47 = 164,127.48 : x
  2. Step 2: Convert to fraction form
    284,946.90/393,192.47 = 164,127.48/x
  3. Step 3: Cross multiply
    284,946.90x = 393,192.47 × 164,127.48
  4. Step 4: Simplify right side
    284,946.90x = 64,533,689,666.39
  5. Step 5: Solve for x
    x = 64,533,689,666.39/284,946.90
  6. Step 6: Final answer
    x = 226,476.19

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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.