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Finding the Fourth Proportional to 302,960.49, 418,088.40 and 166,999.68

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Solution

The fourth proportional to 302,960.49, 418,088.40 and 166,999.68 is: 230,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,960.49 : 418,088.40 = 166,999.68 : x
  2. Step 2: Convert to fraction form
    302,960.49/418,088.40 = 166,999.68/x
  3. Step 3: Cross multiply
    302,960.49x = 418,088.40 × 166,999.68
  4. Step 4: Simplify right side
    302,960.49x = 69,820,629,011.71
  5. Step 5: Solve for x
    x = 69,820,629,011.71/302,960.49
  6. Step 6: Final answer
    x = 230,461.17

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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.