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Finding the Fourth Proportional to 652,408.91, 977,810.24 and 311,032.18

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Solution

The fourth proportional to 652,408.91, 977,810.24 and 311,032.18 is: 466,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,408.91 : 977,810.24 = 311,032.18 : x
  2. Step 2: Convert to fraction form
    652,408.91/977,810.24 = 311,032.18/x
  3. Step 3: Cross multiply
    652,408.91x = 977,810.24 × 311,032.18
  4. Step 4: Simplify right side
    652,408.91x = 304,130,452,573.37
  5. Step 5: Solve for x
    x = 304,130,452,573.37/652,408.91
  6. Step 6: Final answer
    x = 466,165.39

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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.