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Finding the Fourth Proportional to 565,643.85, 780,603.91 and 307,538.17

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Solution

The fourth proportional to 565,643.85, 780,603.91 and 307,538.17 is: 424,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,643.85 : 780,603.91 = 307,538.17 : x
  2. Step 2: Convert to fraction form
    565,643.85/780,603.91 = 307,538.17/x
  3. Step 3: Cross multiply
    565,643.85x = 780,603.91 × 307,538.17
  4. Step 4: Simplify right side
    565,643.85x = 240,065,497,976.25
  5. Step 5: Solve for x
    x = 240,065,497,976.25/565,643.85
  6. Step 6: Final answer
    x = 424,411.05

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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.