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Finding the Fourth Proportional to 565,643.35, 780,603.22 and 307,537.67

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Solution

The fourth proportional to 565,643.35, 780,603.22 and 307,537.67 is: 424,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,643.35 : 780,603.22 = 307,537.67 : x
  2. Step 2: Convert to fraction form
    565,643.35/780,603.22 = 307,537.67/x
  3. Step 3: Cross multiply
    565,643.35x = 780,603.22 × 307,537.67
  4. Step 4: Simplify right side
    565,643.35x = 240,064,895,473.30
  5. Step 5: Solve for x
    x = 240,064,895,473.30/565,643.35
  6. Step 6: Final answer
    x = 424,410.36

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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.