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Finding the Fourth Proportional to 507,368.75, 700,180.19 and 289,573.06

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Solution

The fourth proportional to 507,368.75, 700,180.19 and 289,573.06 is: 399,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,368.75 : 700,180.19 = 289,573.06 : x
  2. Step 2: Convert to fraction form
    507,368.75/700,180.19 = 289,573.06/x
  3. Step 3: Cross multiply
    507,368.75x = 700,180.19 × 289,573.06
  4. Step 4: Simplify right side
    507,368.75x = 202,753,319,143.16
  5. Step 5: Solve for x
    x = 202,753,319,143.16/507,368.75
  6. Step 6: Final answer
    x = 399,617.28

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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.