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Finding the Fourth Proportional to 651,806.20, 977,417.70 and 252,314.20

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Solution

The fourth proportional to 651,806.20, 977,417.70 and 252,314.20 is: 378,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,806.20 : 977,417.70 = 252,314.20 : x
  2. Step 2: Convert to fraction form
    651,806.20/977,417.70 = 252,314.20/x
  3. Step 3: Cross multiply
    651,806.20x = 977,417.70 × 252,314.20
  4. Step 4: Simplify right side
    651,806.20x = 246,616,365,041.34
  5. Step 5: Solve for x
    x = 246,616,365,041.34/651,806.20
  6. Step 6: Final answer
    x = 378,358.42

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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.