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Finding the Fourth Proportional to 500,511.30, 749,782.80 and 465,081.90

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Solution

The fourth proportional to 500,511.30, 749,782.80 and 465,081.90 is: 696,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,511.30 : 749,782.80 = 465,081.90 : x
  2. Step 2: Convert to fraction form
    500,511.30/749,782.80 = 465,081.90/x
  3. Step 3: Cross multiply
    500,511.30x = 749,782.80 × 465,081.90
  4. Step 4: Simplify right side
    500,511.30x = 348,710,409,211.32
  5. Step 5: Solve for x
    x = 348,710,409,211.32/500,511.30
  6. Step 6: Final answer
    x = 696,708.36

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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.