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Finding the Fourth Proportional to 257,756.99, 355,700.30 and 144,577.31

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Solution

The fourth proportional to 257,756.99, 355,700.30 and 144,577.31 is: 199,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,756.99 : 355,700.30 = 144,577.31 : x
  2. Step 2: Convert to fraction form
    257,756.99/355,700.30 = 144,577.31/x
  3. Step 3: Cross multiply
    257,756.99x = 355,700.30 × 144,577.31
  4. Step 4: Simplify right side
    257,756.99x = 51,426,190,038.81
  5. Step 5: Solve for x
    x = 51,426,190,038.81/257,756.99
  6. Step 6: Final answer
    x = 199,514.24

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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.