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Finding the Fourth Proportional to 345,673.50, 477,029.70 and 186,697.50

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Solution

The fourth proportional to 345,673.50, 477,029.70 and 186,697.50 is: 257,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,673.50 : 477,029.70 = 186,697.50 : x
  2. Step 2: Convert to fraction form
    345,673.50/477,029.70 = 186,697.50/x
  3. Step 3: Cross multiply
    345,673.50x = 477,029.70 × 186,697.50
  4. Step 4: Simplify right side
    345,673.50x = 89,060,252,415.75
  5. Step 5: Solve for x
    x = 89,060,252,415.75/345,673.50
  6. Step 6: Final answer
    x = 257,642.70

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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.