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Finding the Fourth Proportional to 565,511.55, 780,386.13 and 310,860.90

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Solution

The fourth proportional to 565,511.55, 780,386.13 and 310,860.90 is: 428,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,511.55 : 780,386.13 = 310,860.90 : x
  2. Step 2: Convert to fraction form
    565,511.55/780,386.13 = 310,860.90/x
  3. Step 3: Cross multiply
    565,511.55x = 780,386.13 × 310,860.90
  4. Step 4: Simplify right side
    565,511.55x = 242,591,534,719.32
  5. Step 5: Solve for x
    x = 242,591,534,719.32/565,511.55
  6. Step 6: Final answer
    x = 428,977.15

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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.