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Finding the Fourth Proportional to 301,117.80, 415,675.92 and 210,828.72

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Solution

The fourth proportional to 301,117.80, 415,675.92 and 210,828.72 is: 291,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,117.80 : 415,675.92 = 210,828.72 : x
  2. Step 2: Convert to fraction form
    301,117.80/415,675.92 = 210,828.72/x
  3. Step 3: Cross multiply
    301,117.80x = 415,675.92 × 210,828.72
  4. Step 4: Simplify right side
    301,117.80x = 87,636,422,148.42
  5. Step 5: Solve for x
    x = 87,636,422,148.42/301,117.80
  6. Step 6: Final answer
    x = 291,037.00

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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.