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Finding the Fourth Proportional to 469,152, 647,429.76 and 257,184

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Solution

The fourth proportional to 469,152, 647,429.76 and 257,184 is: 354,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,152 : 647,429.76 = 257,184 : x
  2. Step 2: Convert to fraction form
    469,152/647,429.76 = 257,184/x
  3. Step 3: Cross multiply
    469,152x = 647,429.76 × 257,184
  4. Step 4: Simplify right side
    469,152x = 166,508,575,395.84
  5. Step 5: Solve for x
    x = 166,508,575,395.84/469,152
  6. Step 6: Final answer
    x = 354,913.92

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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.