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Finding the Fourth Proportional to 472,098.11, 651,495.53 and 257,238.12

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Solution

The fourth proportional to 472,098.11, 651,495.53 and 257,238.12 is: 354,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,098.11 : 651,495.53 = 257,238.12 : x
  2. Step 2: Convert to fraction form
    472,098.11/651,495.53 = 257,238.12/x
  3. Step 3: Cross multiply
    472,098.11x = 651,495.53 × 257,238.12
  4. Step 4: Simplify right side
    472,098.11x = 167,589,483,525.59
  5. Step 5: Solve for x
    x = 167,589,483,525.59/472,098.11
  6. Step 6: Final answer
    x = 354,988.68

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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.