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Finding the Fourth Proportional to 565,359, 780,195.42 and 310,726.59

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Solution

The fourth proportional to 565,359, 780,195.42 and 310,726.59 is: 428,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,359 : 780,195.42 = 310,726.59 : x
  2. Step 2: Convert to fraction form
    565,359/780,195.42 = 310,726.59/x
  3. Step 3: Cross multiply
    565,359x = 780,195.42 × 310,726.59
  4. Step 4: Simplify right side
    565,359x = 242,427,462,390.22
  5. Step 5: Solve for x
    x = 242,427,462,390.22/565,359
  6. Step 6: Final answer
    x = 428,802.69

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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.