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Finding the Fourth Proportional to 318,918, 440,102.12 and 175,678.14

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Solution

The fourth proportional to 318,918, 440,102.12 and 175,678.14 is: 242,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,918 : 440,102.12 = 175,678.14 : x
  2. Step 2: Convert to fraction form
    318,918/440,102.12 = 175,678.14/x
  3. Step 3: Cross multiply
    318,918x = 440,102.12 × 175,678.14
  4. Step 4: Simplify right side
    318,918x = 77,316,320,973.27
  5. Step 5: Solve for x
    x = 77,316,320,973.27/318,918
  6. Step 6: Final answer
    x = 242,433.23

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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.