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Finding the Fourth Proportional to 507,897.71, 700,657.32 and 303,907.55

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Solution

The fourth proportional to 507,897.71, 700,657.32 and 303,907.55 is: 419,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,897.71 : 700,657.32 = 303,907.55 : x
  2. Step 2: Convert to fraction form
    507,897.71/700,657.32 = 303,907.55/x
  3. Step 3: Cross multiply
    507,897.71x = 700,657.32 × 303,907.55
  4. Step 4: Simplify right side
    507,897.71x = 212,935,047,147.13
  5. Step 5: Solve for x
    x = 212,935,047,147.13/507,897.71
  6. Step 6: Final answer
    x = 419,247.90

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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.