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Finding the Fourth Proportional to 301,312, 415,810.24 and 165,346.72

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Solution

The fourth proportional to 301,312, 415,810.24 and 165,346.72 is: 228,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,312 : 415,810.24 = 165,346.72 : x
  2. Step 2: Convert to fraction form
    301,312/415,810.24 = 165,346.72/x
  3. Step 3: Cross multiply
    301,312x = 415,810.24 × 165,346.72
  4. Step 4: Simplify right side
    301,312x = 68,752,859,326.41
  5. Step 5: Solve for x
    x = 68,752,859,326.41/301,312
  6. Step 6: Final answer
    x = 228,178.30

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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.