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Finding the Fourth Proportional to 333,619.80, 500,429.70 and 310,291.80

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Solution

The fourth proportional to 333,619.80, 500,429.70 and 310,291.80 is: 465,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,619.80 : 500,429.70 = 310,291.80 : x
  2. Step 2: Convert to fraction form
    333,619.80/500,429.70 = 310,291.80/x
  3. Step 3: Cross multiply
    333,619.80x = 500,429.70 × 310,291.80
  4. Step 4: Simplify right side
    333,619.80x = 155,279,232,386.46
  5. Step 5: Solve for x
    x = 155,279,232,386.46/333,619.80
  6. Step 6: Final answer
    x = 465,437.70

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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.