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Finding the Fourth Proportional to 328,462.48, 453,534.76 and 257,046

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Solution

The fourth proportional to 328,462.48, 453,534.76 and 257,046 is: 354,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,462.48 : 453,534.76 = 257,046 : x
  2. Step 2: Convert to fraction form
    328,462.48/453,534.76 = 257,046/x
  3. Step 3: Cross multiply
    328,462.48x = 453,534.76 × 257,046
  4. Step 4: Simplify right side
    328,462.48x = 116,579,295,918.96
  5. Step 5: Solve for x
    x = 116,579,295,918.96/328,462.48
  6. Step 6: Final answer
    x = 354,924.24

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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.