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Finding the Fourth Proportional to 782,707.80, 1,174,068.90 and 409,459.80

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Solution

The fourth proportional to 782,707.80, 1,174,068.90 and 409,459.80 is: 614,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,707.80 : 1,174,068.90 = 409,459.80 : x
  2. Step 2: Convert to fraction form
    782,707.80/1,174,068.90 = 409,459.80/x
  3. Step 3: Cross multiply
    782,707.80x = 1,174,068.90 × 409,459.80
  4. Step 4: Simplify right side
    782,707.80x = 480,734,016,980.22
  5. Step 5: Solve for x
    x = 480,734,016,980.22/782,707.80
  6. Step 6: Final answer
    x = 614,193.47

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1.5x scale

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.