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Finding the Fourth Proportional to 565,840.22, 780,862.68 and 307,720.17

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Solution

The fourth proportional to 565,840.22, 780,862.68 and 307,720.17 is: 424,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,840.22 : 780,862.68 = 307,720.17 : x
  2. Step 2: Convert to fraction form
    565,840.22/780,862.68 = 307,720.17/x
  3. Step 3: Cross multiply
    565,840.22x = 780,862.68 × 307,720.17
  4. Step 4: Simplify right side
    565,840.22x = 240,287,196,636.26
  5. Step 5: Solve for x
    x = 240,287,196,636.26/565,840.22
  6. Step 6: Final answer
    x = 424,655.57

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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.