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Finding the Fourth Proportional to 416,854.31, 575,457.30 and 279,270.14

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Solution

The fourth proportional to 416,854.31, 575,457.30 and 279,270.14 is: 385,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,854.31 : 575,457.30 = 279,270.14 : x
  2. Step 2: Convert to fraction form
    416,854.31/575,457.30 = 279,270.14/x
  3. Step 3: Cross multiply
    416,854.31x = 575,457.30 × 279,270.14
  4. Step 4: Simplify right side
    416,854.31x = 160,708,037,857.74
  5. Step 5: Solve for x
    x = 160,708,037,857.74/416,854.31
  6. Step 6: Final answer
    x = 385,525.68

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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.