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Finding the Fourth Proportional to 455,643.53, 683,561.93 and 156,043.67

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Solution

The fourth proportional to 455,643.53, 683,561.93 and 156,043.67 is: 234,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,643.53 : 683,561.93 = 156,043.67 : x
  2. Step 2: Convert to fraction form
    455,643.53/683,561.93 = 156,043.67/x
  3. Step 3: Cross multiply
    455,643.53x = 683,561.93 × 156,043.67
  4. Step 4: Simplify right side
    455,643.53x = 106,665,508,031.46
  5. Step 5: Solve for x
    x = 106,665,508,031.46/455,643.53
  6. Step 6: Final answer
    x = 234,098.59

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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.