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Finding the Fourth Proportional to 514,051.20, 709,390.56 and 287,696.70

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Solution

The fourth proportional to 514,051.20, 709,390.56 and 287,696.70 is: 397,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,051.20 : 709,390.56 = 287,696.70 : x
  2. Step 2: Convert to fraction form
    514,051.20/709,390.56 = 287,696.70/x
  3. Step 3: Cross multiply
    514,051.20x = 709,390.56 × 287,696.70
  4. Step 4: Simplify right side
    514,051.20x = 204,089,323,123.15
  5. Step 5: Solve for x
    x = 204,089,323,123.15/514,051.20
  6. Step 6: Final answer
    x = 397,021.39

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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.