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Finding the Fourth Proportional to 291,072, 401,698.08 and 176,429.76

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Solution

The fourth proportional to 291,072, 401,698.08 and 176,429.76 is: 243,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,072 : 401,698.08 = 176,429.76 : x
  2. Step 2: Convert to fraction form
    291,072/401,698.08 = 176,429.76/x
  3. Step 3: Cross multiply
    291,072x = 401,698.08 × 176,429.76
  4. Step 4: Simplify right side
    291,072x = 70,871,495,846.86
  5. Step 5: Solve for x
    x = 70,871,495,846.86/291,072
  6. Step 6: Final answer
    x = 243,484.42

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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.