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Finding the Fourth Proportional to 320,671.89, 442,520.39 and 175,477.10

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Solution

The fourth proportional to 320,671.89, 442,520.39 and 175,477.10 is: 242,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,671.89 : 442,520.39 = 175,477.10 : x
  2. Step 2: Convert to fraction form
    320,671.89/442,520.39 = 175,477.10/x
  3. Step 3: Cross multiply
    320,671.89x = 442,520.39 × 175,477.10
  4. Step 4: Simplify right side
    320,671.89x = 77,652,194,728.07
  5. Step 5: Solve for x
    x = 77,652,194,728.07/320,671.89
  6. Step 6: Final answer
    x = 242,154.67

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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.