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Finding the Fourth Proportional to 257,070.86, 355,127.31 and 205,320.01

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Solution

The fourth proportional to 257,070.86, 355,127.31 and 205,320.01 is: 283,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,070.86 : 355,127.31 = 205,320.01 : x
  2. Step 2: Convert to fraction form
    257,070.86/355,127.31 = 205,320.01/x
  3. Step 3: Cross multiply
    257,070.86x = 355,127.31 × 205,320.01
  4. Step 4: Simplify right side
    257,070.86x = 72,914,742,840.47
  5. Step 5: Solve for x
    x = 72,914,742,840.47/257,070.86
  6. Step 6: Final answer
    x = 283,636.75

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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.