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Finding the Fourth Proportional to 257,724, 355,814.64 and 168,455.52

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Solution

The fourth proportional to 257,724, 355,814.64 and 168,455.52 is: 232,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,724 : 355,814.64 = 168,455.52 : x
  2. Step 2: Convert to fraction form
    257,724/355,814.64 = 168,455.52/x
  3. Step 3: Cross multiply
    257,724x = 355,814.64 × 168,455.52
  4. Step 4: Simplify right side
    257,724x = 59,938,940,204.81
  5. Step 5: Solve for x
    x = 59,938,940,204.81/257,724
  6. Step 6: Final answer
    x = 232,570.27

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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.