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Finding the Fourth Proportional to 312,424.68, 431,145.45 and 169,184.28

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Solution

The fourth proportional to 312,424.68, 431,145.45 and 169,184.28 is: 233,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,424.68 : 431,145.45 = 169,184.28 : x
  2. Step 2: Convert to fraction form
    312,424.68/431,145.45 = 169,184.28/x
  3. Step 3: Cross multiply
    312,424.68x = 431,145.45 × 169,184.28
  4. Step 4: Simplify right side
    312,424.68x = 72,943,032,533.53
  5. Step 5: Solve for x
    x = 72,943,032,533.53/312,424.68
  6. Step 6: Final answer
    x = 233,473.98

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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.