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Finding the Fourth Proportional to 257,527.81, 355,381.82 and 142,804.63

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Solution

The fourth proportional to 257,527.81, 355,381.82 and 142,804.63 is: 197,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,527.81 : 355,381.82 = 142,804.63 : x
  2. Step 2: Convert to fraction form
    257,527.81/355,381.82 = 142,804.63/x
  3. Step 3: Cross multiply
    257,527.81x = 355,381.82 × 142,804.63
  4. Step 4: Simplify right side
    257,527.81x = 50,750,169,313.83
  5. Step 5: Solve for x
    x = 50,750,169,313.83/257,527.81
  6. Step 6: Final answer
    x = 197,066.75

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1.5x scale

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.