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Finding the Fourth Proportional to 586,494.24, 809,359.20 and 318,222.24

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Solution

The fourth proportional to 586,494.24, 809,359.20 and 318,222.24 is: 439,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,494.24 : 809,359.20 = 318,222.24 : x
  2. Step 2: Convert to fraction form
    586,494.24/809,359.20 = 318,222.24/x
  3. Step 3: Cross multiply
    586,494.24x = 809,359.20 × 318,222.24
  4. Step 4: Simplify right side
    586,494.24x = 257,556,097,588.61
  5. Step 5: Solve for x
    x = 257,556,097,588.61/586,494.24
  6. Step 6: Final answer
    x = 439,145.14

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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.