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Finding the Fourth Proportional to 514,455.10, 709,948.60 and 288,100.60

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Solution

The fourth proportional to 514,455.10, 709,948.60 and 288,100.60 is: 397,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,455.10 : 709,948.60 = 288,100.60 : x
  2. Step 2: Convert to fraction form
    514,455.10/709,948.60 = 288,100.60/x
  3. Step 3: Cross multiply
    514,455.10x = 709,948.60 × 288,100.60
  4. Step 4: Simplify right side
    514,455.10x = 204,536,615,134.04
  5. Step 5: Solve for x
    x = 204,536,615,134.04/514,455.10
  6. Step 6: Final answer
    x = 397,579.14

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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.