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Finding the Fourth Proportional to 309,669.16, 427,343.14 and 175,533.16

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Solution

The fourth proportional to 309,669.16, 427,343.14 and 175,533.16 is: 242,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,669.16 : 427,343.14 = 175,533.16 : x
  2. Step 2: Convert to fraction form
    309,669.16/427,343.14 = 175,533.16/x
  3. Step 3: Cross multiply
    309,669.16x = 427,343.14 × 175,533.16
  4. Step 4: Simplify right side
    309,669.16x = 75,012,891,768.52
  5. Step 5: Solve for x
    x = 75,012,891,768.52/309,669.16
  6. Step 6: Final answer
    x = 242,235.59

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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.