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Finding the Fourth Proportional to 657,907.74, 908,062.62 and 428,059.50

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Solution

The fourth proportional to 657,907.74, 908,062.62 and 428,059.50 is: 590,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,907.74 : 908,062.62 = 428,059.50 : x
  2. Step 2: Convert to fraction form
    657,907.74/908,062.62 = 428,059.50/x
  3. Step 3: Cross multiply
    657,907.74x = 908,062.62 × 428,059.50
  4. Step 4: Simplify right side
    657,907.74x = 388,704,831,085.89
  5. Step 5: Solve for x
    x = 388,704,831,085.89/657,907.74
  6. Step 6: Final answer
    x = 590,819.67

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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.