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Finding the Fourth Proportional to 459,159.60, 686,795.40 and 412,114.80

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Solution

The fourth proportional to 459,159.60, 686,795.40 and 412,114.80 is: 616,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,159.60 : 686,795.40 = 412,114.80 : x
  2. Step 2: Convert to fraction form
    459,159.60/686,795.40 = 412,114.80/x
  3. Step 3: Cross multiply
    459,159.60x = 686,795.40 × 412,114.80
  4. Step 4: Simplify right side
    459,159.60x = 283,038,548,911.92
  5. Step 5: Solve for x
    x = 283,038,548,911.92/459,159.60
  6. Step 6: Final answer
    x = 616,427.38

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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.