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Finding the Fourth Proportional to 497,300.19, 745,813.71 and 137,385.06

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Solution

The fourth proportional to 497,300.19, 745,813.71 and 137,385.06 is: 206,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,300.19 : 745,813.71 = 137,385.06 : x
  2. Step 2: Convert to fraction form
    497,300.19/745,813.71 = 137,385.06/x
  3. Step 3: Cross multiply
    497,300.19x = 745,813.71 × 137,385.06
  4. Step 4: Simplify right side
    497,300.19x = 102,463,661,297.17
  5. Step 5: Solve for x
    x = 102,463,661,297.17/497,300.19
  6. Step 6: Final answer
    x = 206,039.86

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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.