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Finding the Fourth Proportional to 472,399.68, 651,916.48 and 257,538.56

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Solution

The fourth proportional to 472,399.68, 651,916.48 and 257,538.56 is: 355,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,399.68 : 651,916.48 = 257,538.56 : x
  2. Step 2: Convert to fraction form
    472,399.68/651,916.48 = 257,538.56/x
  3. Step 3: Cross multiply
    472,399.68x = 651,916.48 × 257,538.56
  4. Step 4: Simplify right side
    472,399.68x = 167,893,631,499.47
  5. Step 5: Solve for x
    x = 167,893,631,499.47/472,399.68
  6. Step 6: Final answer
    x = 355,405.90

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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.