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Finding the Fourth Proportional to 689,482.93, 949,320.61 and 585,898.64

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Solution

The fourth proportional to 689,482.93, 949,320.61 and 585,898.64 is: 806,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,482.93 : 949,320.61 = 585,898.64 : x
  2. Step 2: Convert to fraction form
    689,482.93/949,320.61 = 585,898.64/x
  3. Step 3: Cross multiply
    689,482.93x = 949,320.61 × 585,898.64
  4. Step 4: Simplify right side
    689,482.93x = 556,205,654,322.97
  5. Step 5: Solve for x
    x = 556,205,654,322.97/689,482.93
  6. Step 6: Final answer
    x = 806,699.67

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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.