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Finding the Fourth Proportional to 459,629.60, 689,444.40 and 310,330.40

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Solution

The fourth proportional to 459,629.60, 689,444.40 and 310,330.40 is: 465,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,629.60 : 689,444.40 = 310,330.40 : x
  2. Step 2: Convert to fraction form
    459,629.60/689,444.40 = 310,330.40/x
  3. Step 3: Cross multiply
    459,629.60x = 689,444.40 × 310,330.40
  4. Step 4: Simplify right side
    459,629.60x = 213,955,556,429.76
  5. Step 5: Solve for x
    x = 213,955,556,429.76/459,629.60
  6. Step 6: Final answer
    x = 465,495.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.