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Finding the Fourth Proportional to 375,705.87, 563,296.32 and 139,017.84

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Solution

The fourth proportional to 375,705.87, 563,296.32 and 139,017.84 is: 208,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,705.87 : 563,296.32 = 139,017.84 : x
  2. Step 2: Convert to fraction form
    375,705.87/563,296.32 = 139,017.84/x
  3. Step 3: Cross multiply
    375,705.87x = 563,296.32 × 139,017.84
  4. Step 4: Simplify right side
    375,705.87x = 78,308,237,686.35
  5. Step 5: Solve for x
    x = 78,308,237,686.35/375,705.87
  6. Step 6: Final answer
    x = 208,429.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.