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Finding the Fourth Proportional to 565,291.84, 780,093.12 and 310,642.72

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Solution

The fourth proportional to 565,291.84, 780,093.12 and 310,642.72 is: 428,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,291.84 : 780,093.12 = 310,642.72 : x
  2. Step 2: Convert to fraction form
    565,291.84/780,093.12 = 310,642.72/x
  3. Step 3: Cross multiply
    565,291.84x = 780,093.12 × 310,642.72
  4. Step 4: Simplify right side
    565,291.84x = 242,330,248,650.09
  5. Step 5: Solve for x
    x = 242,330,248,650.09/565,291.84
  6. Step 6: Final answer
    x = 428,681.67

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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.