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Finding the Fourth Proportional to 500,709.95, 752,052.71 and 430,208.36

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Solution

The fourth proportional to 500,709.95, 752,052.71 and 430,208.36 is: 646,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,709.95 : 752,052.71 = 430,208.36 : x
  2. Step 2: Convert to fraction form
    500,709.95/752,052.71 = 430,208.36/x
  3. Step 3: Cross multiply
    500,709.95x = 752,052.71 × 430,208.36
  4. Step 4: Simplify right side
    500,709.95x = 323,539,360,317.91
  5. Step 5: Solve for x
    x = 323,539,360,317.91/500,709.95
  6. Step 6: Final answer
    x = 646,161.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.