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Finding the Fourth Proportional to 586,536.40, 809,429.64 and 318,264.40

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Solution

The fourth proportional to 586,536.40, 809,429.64 and 318,264.40 is: 439,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,536.40 : 809,429.64 = 318,264.40 : x
  2. Step 2: Convert to fraction form
    586,536.40/809,429.64 = 318,264.40/x
  3. Step 3: Cross multiply
    586,536.40x = 809,429.64 × 318,264.40
  4. Step 4: Simplify right side
    586,536.40x = 257,612,638,716.82
  5. Step 5: Solve for x
    x = 257,612,638,716.82/586,536.40
  6. Step 6: Final answer
    x = 439,209.98

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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.