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Finding the Fourth Proportional to 517,169, 713,686.20 and 290,815.04

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Solution

The fourth proportional to 517,169, 713,686.20 and 290,815.04 is: 401,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,169 : 713,686.20 = 290,815.04 : x
  2. Step 2: Convert to fraction form
    517,169/713,686.20 = 290,815.04/x
  3. Step 3: Cross multiply
    517,169x = 713,686.20 × 290,815.04
  4. Step 4: Simplify right side
    517,169x = 207,550,680,800.45
  5. Step 5: Solve for x
    x = 207,550,680,800.45/517,169
  6. Step 6: Final answer
    x = 401,320.81

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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.