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Finding the Fourth Proportional to 564,047.50, 778,385.55 and 309,399.30

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Solution

The fourth proportional to 564,047.50, 778,385.55 and 309,399.30 is: 426,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,047.50 : 778,385.55 = 309,399.30 : x
  2. Step 2: Convert to fraction form
    564,047.50/778,385.55 = 309,399.30/x
  3. Step 3: Cross multiply
    564,047.50x = 778,385.55 × 309,399.30
  4. Step 4: Simplify right side
    564,047.50x = 240,831,940,408.19
  5. Step 5: Solve for x
    x = 240,831,940,408.19/564,047.50
  6. Step 6: Final answer
    x = 426,971.03

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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.