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Finding the Fourth Proportional to 509,405.60, 702,986.10 and 279,987.96

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Solution

The fourth proportional to 509,405.60, 702,986.10 and 279,987.96 is: 386,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,405.60 : 702,986.10 = 279,987.96 : x
  2. Step 2: Convert to fraction form
    509,405.60/702,986.10 = 279,987.96/x
  3. Step 3: Cross multiply
    509,405.60x = 702,986.10 × 279,987.96
  4. Step 4: Simplify right side
    509,405.60x = 196,827,644,047.36
  5. Step 5: Solve for x
    x = 196,827,644,047.36/509,405.60
  6. Step 6: Final answer
    x = 386,386.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.