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Finding the Fourth Proportional to 302,779.07, 417,833.16 and 166,809.87

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Solution

The fourth proportional to 302,779.07, 417,833.16 and 166,809.87 is: 230,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,779.07 : 417,833.16 = 166,809.87 : x
  2. Step 2: Convert to fraction form
    302,779.07/417,833.16 = 166,809.87/x
  3. Step 3: Cross multiply
    302,779.07x = 417,833.16 × 166,809.87
  4. Step 4: Simplify right side
    302,779.07x = 69,698,695,101.29
  5. Step 5: Solve for x
    x = 69,698,695,101.29/302,779.07
  6. Step 6: Final answer
    x = 230,196.54

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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.