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Finding the Fourth Proportional to 412,455, 569,101.50 and 242,707.80

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Solution

The fourth proportional to 412,455, 569,101.50 and 242,707.80 is: 334,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,455 : 569,101.50 = 242,707.80 : x
  2. Step 2: Convert to fraction form
    412,455/569,101.50 = 242,707.80/x
  3. Step 3: Cross multiply
    412,455x = 569,101.50 × 242,707.80
  4. Step 4: Simplify right side
    412,455x = 138,125,373,041.70
  5. Step 5: Solve for x
    x = 138,125,373,041.70/412,455
  6. Step 6: Final answer
    x = 334,885.92

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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.