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Finding the Fourth Proportional to 459,770.64, 689,312.35 and 317,209.11

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Solution

The fourth proportional to 459,770.64, 689,312.35 and 317,209.11 is: 475,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,770.64 : 689,312.35 = 317,209.11 : x
  2. Step 2: Convert to fraction form
    459,770.64/689,312.35 = 317,209.11/x
  3. Step 3: Cross multiply
    459,770.64x = 689,312.35 × 317,209.11
  4. Step 4: Simplify right side
    459,770.64x = 218,656,157,697.94
  5. Step 5: Solve for x
    x = 218,656,157,697.94/459,770.64
  6. Step 6: Final answer
    x = 475,576.60

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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.