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Finding the Fourth Proportional to 565,561.16, 780,489.30 and 310,918.76

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Solution

The fourth proportional to 565,561.16, 780,489.30 and 310,918.76 is: 429,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,561.16 : 780,489.30 = 310,918.76 : x
  2. Step 2: Convert to fraction form
    565,561.16/780,489.30 = 310,918.76/x
  3. Step 3: Cross multiply
    565,561.16x = 780,489.30 × 310,918.76
  4. Step 4: Simplify right side
    565,561.16x = 242,668,765,349.27
  5. Step 5: Solve for x
    x = 242,668,765,349.27/565,561.16
  6. Step 6: Final answer
    x = 429,076.08

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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.