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Finding the Fourth Proportional to 507,470.83, 700,137.32 and 289,522.94

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Solution

The fourth proportional to 507,470.83, 700,137.32 and 289,522.94 is: 399,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,470.83 : 700,137.32 = 289,522.94 : x
  2. Step 2: Convert to fraction form
    507,470.83/700,137.32 = 289,522.94/x
  3. Step 3: Cross multiply
    507,470.83x = 700,137.32 × 289,522.94
  4. Step 4: Simplify right side
    507,470.83x = 202,705,810,341.82
  5. Step 5: Solve for x
    x = 202,705,810,341.82/507,470.83
  6. Step 6: Final answer
    x = 399,443.28

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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.