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Finding the Fourth Proportional to 513,254.56, 708,306.96 and 286,909.60

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Solution

The fourth proportional to 513,254.56, 708,306.96 and 286,909.60 is: 395,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,254.56 : 708,306.96 = 286,909.60 : x
  2. Step 2: Convert to fraction form
    513,254.56/708,306.96 = 286,909.60/x
  3. Step 3: Cross multiply
    513,254.56x = 708,306.96 × 286,909.60
  4. Step 4: Simplify right side
    513,254.56x = 203,220,066,570.82
  5. Step 5: Solve for x
    x = 203,220,066,570.82/513,254.56
  6. Step 6: Final answer
    x = 395,944.01

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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.