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Finding the Fourth Proportional to 459,068.60, 688,602.90 and 309,769.40

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Solution

The fourth proportional to 459,068.60, 688,602.90 and 309,769.40 is: 464,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,068.60 : 688,602.90 = 309,769.40 : x
  2. Step 2: Convert to fraction form
    459,068.60/688,602.90 = 309,769.40/x
  3. Step 3: Cross multiply
    459,068.60x = 688,602.90 × 309,769.40
  4. Step 4: Simplify right side
    459,068.60x = 213,308,107,171.26
  5. Step 5: Solve for x
    x = 213,308,107,171.26/459,068.60
  6. Step 6: Final answer
    x = 464,654.10

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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.