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Finding the Fourth Proportional to 219,459.84, 302,860.80 and 123,970.56

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Solution

The fourth proportional to 219,459.84, 302,860.80 and 123,970.56 is: 171,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,459.84 : 302,860.80 = 123,970.56 : x
  2. Step 2: Convert to fraction form
    219,459.84/302,860.80 = 123,970.56/x
  3. Step 3: Cross multiply
    219,459.84x = 302,860.80 × 123,970.56
  4. Step 4: Simplify right side
    219,459.84x = 37,545,822,978.05
  5. Step 5: Solve for x
    x = 37,545,822,978.05/219,459.84
  6. Step 6: Final answer
    x = 171,082.89

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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.