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Finding the Fourth Proportional to 651,866.40, 977,896.80 and 231,109.20

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Solution

The fourth proportional to 651,866.40, 977,896.80 and 231,109.20 is: 346,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,866.40 : 977,896.80 = 231,109.20 : x
  2. Step 2: Convert to fraction form
    651,866.40/977,896.80 = 231,109.20/x
  3. Step 3: Cross multiply
    651,866.40x = 977,896.80 × 231,109.20
  4. Step 4: Simplify right side
    651,866.40x = 226,000,947,130.56
  5. Step 5: Solve for x
    x = 226,000,947,130.56/651,866.40
  6. Step 6: Final answer
    x = 346,698.26

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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.