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Finding the Fourth Proportional to 565,628.44, 780,547.29 and 310,977.67

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Solution

The fourth proportional to 565,628.44, 780,547.29 and 310,977.67 is: 429,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,628.44 : 780,547.29 = 310,977.67 : x
  2. Step 2: Convert to fraction form
    565,628.44/780,547.29 = 310,977.67/x
  3. Step 3: Cross multiply
    565,628.44x = 780,547.29 × 310,977.67
  4. Step 4: Simplify right side
    565,628.44x = 242,732,777,569.01
  5. Step 5: Solve for x
    x = 242,732,777,569.01/565,628.44
  6. Step 6: Final answer
    x = 429,138.21

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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.