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Finding the Fourth Proportional to 565,559.54, 780,487.06 and 310,917.14

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Solution

The fourth proportional to 565,559.54, 780,487.06 and 310,917.14 is: 429,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,559.54 : 780,487.06 = 310,917.14 : x
  2. Step 2: Convert to fraction form
    565,559.54/780,487.06 = 310,917.14/x
  3. Step 3: Cross multiply
    565,559.54x = 780,487.06 × 310,917.14
  4. Step 4: Simplify right side
    565,559.54x = 242,666,804,502.21
  5. Step 5: Solve for x
    x = 242,666,804,502.21/565,559.54
  6. Step 6: Final answer
    x = 429,073.84

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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.