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Finding the Fourth Proportional to 309,704, 427,368.48 and 175,565.12

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Solution

The fourth proportional to 309,704, 427,368.48 and 175,565.12 is: 242,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,704 : 427,368.48 = 175,565.12 : x
  2. Step 2: Convert to fraction form
    309,704/427,368.48 = 175,565.12/x
  3. Step 3: Cross multiply
    309,704x = 427,368.48 × 175,565.12
  4. Step 4: Simplify right side
    309,704x = 75,030,998,475.42
  5. Step 5: Solve for x
    x = 75,030,998,475.42/309,704
  6. Step 6: Final answer
    x = 242,266.80

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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.