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Finding the Fourth Proportional to 302,693, 417,729.30 and 168,557

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Solution

The fourth proportional to 302,693, 417,729.30 and 168,557 is: 232,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,693 : 417,729.30 = 168,557 : x
  2. Step 2: Convert to fraction form
    302,693/417,729.30 = 168,557/x
  3. Step 3: Cross multiply
    302,693x = 417,729.30 × 168,557
  4. Step 4: Simplify right side
    302,693x = 70,411,197,620.10
  5. Step 5: Solve for x
    x = 70,411,197,620.10/302,693
  6. Step 6: Final answer
    x = 232,615.88

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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.