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Finding the Fourth Proportional to 608,567.64, 912,872.28 and 209,205

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Solution

The fourth proportional to 608,567.64, 912,872.28 and 209,205 is: 313,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,567.64 : 912,872.28 = 209,205 : x
  2. Step 2: Convert to fraction form
    608,567.64/912,872.28 = 209,205/x
  3. Step 3: Cross multiply
    608,567.64x = 912,872.28 × 209,205
  4. Step 4: Simplify right side
    608,567.64x = 190,977,445,337.40
  5. Step 5: Solve for x
    x = 190,977,445,337.40/608,567.64
  6. Step 6: Final answer
    x = 313,814.66

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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.