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Finding the Fourth Proportional to 377,564.70, 566,347.05 and 209,603.10

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Solution

The fourth proportional to 377,564.70, 566,347.05 and 209,603.10 is: 314,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,564.70 : 566,347.05 = 209,603.10 : x
  2. Step 2: Convert to fraction form
    377,564.70/566,347.05 = 209,603.10/x
  3. Step 3: Cross multiply
    377,564.70x = 566,347.05 × 209,603.10
  4. Step 4: Simplify right side
    377,564.70x = 118,708,097,355.86
  5. Step 5: Solve for x
    x = 118,708,097,355.86/377,564.70
  6. Step 6: Final answer
    x = 314,404.65

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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.