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Finding the Fourth Proportional to 565,519.74, 780,427.89 and 310,870.86

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Solution

The fourth proportional to 565,519.74, 780,427.89 and 310,870.86 is: 429,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,519.74 : 780,427.89 = 310,870.86 : x
  2. Step 2: Convert to fraction form
    565,519.74/780,427.89 = 310,870.86/x
  3. Step 3: Cross multiply
    565,519.74x = 780,427.89 × 310,870.86
  4. Step 4: Simplify right side
    565,519.74x = 242,612,289,332.29
  5. Step 5: Solve for x
    x = 242,612,289,332.29/565,519.74
  6. Step 6: Final answer
    x = 429,007.64

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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.