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Finding the Fourth Proportional to 257,533.94, 355,390.23 and 142,810.76

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Solution

The fourth proportional to 257,533.94, 355,390.23 and 142,810.76 is: 197,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,533.94 : 355,390.23 = 142,810.76 : x
  2. Step 2: Convert to fraction form
    257,533.94/355,390.23 = 142,810.76/x
  3. Step 3: Cross multiply
    257,533.94x = 355,390.23 × 142,810.76
  4. Step 4: Simplify right side
    257,533.94x = 50,753,548,767.59
  5. Step 5: Solve for x
    x = 50,753,548,767.59/257,533.94
  6. Step 6: Final answer
    x = 197,075.18

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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.