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Finding the Fourth Proportional to 509,989.60, 763,234.80 and 467,999.20

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Solution

The fourth proportional to 509,989.60, 763,234.80 and 467,999.20 is: 700,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,989.60 : 763,234.80 = 467,999.20 : x
  2. Step 2: Convert to fraction form
    509,989.60/763,234.80 = 467,999.20/x
  3. Step 3: Cross multiply
    509,989.60x = 763,234.80 × 467,999.20
  4. Step 4: Simplify right side
    509,989.60x = 357,193,275,812.16
  5. Step 5: Solve for x
    x = 357,193,275,812.16/509,989.60
  6. Step 6: Final answer
    x = 700,393.25

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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.