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Finding the Fourth Proportional to 471,971.36, 651,312.94 and 257,114

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Solution

The fourth proportional to 471,971.36, 651,312.94 and 257,114 is: 354,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,971.36 : 651,312.94 = 257,114 : x
  2. Step 2: Convert to fraction form
    471,971.36/651,312.94 = 257,114/x
  3. Step 3: Cross multiply
    471,971.36x = 651,312.94 × 257,114
  4. Step 4: Simplify right side
    471,971.36x = 167,461,675,255.16
  5. Step 5: Solve for x
    x = 167,461,675,255.16/471,971.36
  6. Step 6: Final answer
    x = 354,813.21

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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.