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Finding the Fourth Proportional to 565,419.10, 780,284.38 and 307,296.04

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Solution

The fourth proportional to 565,419.10, 780,284.38 and 307,296.04 is: 424,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,419.10 : 780,284.38 = 307,296.04 : x
  2. Step 2: Convert to fraction form
    565,419.10/780,284.38 = 307,296.04/x
  3. Step 3: Cross multiply
    565,419.10x = 780,284.38 × 307,296.04
  4. Step 4: Simplify right side
    565,419.10x = 239,778,300,047.86
  5. Step 5: Solve for x
    x = 239,778,300,047.86/565,419.10
  6. Step 6: Final answer
    x = 424,071.81

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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.