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Finding the Fourth Proportional to 565,607.96, 780,544.32 and 310,961

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Solution

The fourth proportional to 565,607.96, 780,544.32 and 310,961 is: 429,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,607.96 : 780,544.32 = 310,961 : x
  2. Step 2: Convert to fraction form
    565,607.96/780,544.32 = 310,961/x
  3. Step 3: Cross multiply
    565,607.96x = 780,544.32 × 310,961
  4. Step 4: Simplify right side
    565,607.96x = 242,718,842,291.52
  5. Step 5: Solve for x
    x = 242,718,842,291.52/565,607.96
  6. Step 6: Final answer
    x = 429,129.11

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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.