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Finding the Fourth Proportional to 289,071.72, 433,431.99 and 144,809.76

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Solution

The fourth proportional to 289,071.72, 433,431.99 and 144,809.76 is: 217,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,071.72 : 433,431.99 = 144,809.76 : x
  2. Step 2: Convert to fraction form
    289,071.72/433,431.99 = 144,809.76/x
  3. Step 3: Cross multiply
    289,071.72x = 433,431.99 × 144,809.76
  4. Step 4: Simplify right side
    289,071.72x = 62,765,182,448.22
  5. Step 5: Solve for x
    x = 62,765,182,448.22/289,071.72
  6. Step 6: Final answer
    x = 217,126.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.