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Finding the Fourth Proportional to 302,678.47, 417,699.11 and 166,712.91

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Solution

The fourth proportional to 302,678.47, 417,699.11 and 166,712.91 is: 230,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,678.47 : 417,699.11 = 166,712.91 : x
  2. Step 2: Convert to fraction form
    302,678.47/417,699.11 = 166,712.91/x
  3. Step 3: Cross multiply
    302,678.47x = 417,699.11 × 166,712.91
  4. Step 4: Simplify right side
    302,678.47x = 69,635,832,044.01
  5. Step 5: Solve for x
    x = 69,635,832,044.01/302,678.47
  6. Step 6: Final answer
    x = 230,065.37

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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.