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Finding the Fourth Proportional to 513,120, 708,127.47 and 286,765.50

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Solution

The fourth proportional to 513,120, 708,127.47 and 286,765.50 is: 395,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,120 : 708,127.47 = 286,765.50 : x
  2. Step 2: Convert to fraction form
    513,120/708,127.47 = 286,765.50/x
  3. Step 3: Cross multiply
    513,120x = 708,127.47 × 286,765.50
  4. Step 4: Simplify right side
    513,120x = 203,066,527,998.29
  5. Step 5: Solve for x
    x = 203,066,527,998.29/513,120
  6. Step 6: Final answer
    x = 395,748.61

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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.