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Finding the Fourth Proportional to 459,827.60, 690,259.80 and 355,110.80

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Solution

The fourth proportional to 459,827.60, 690,259.80 and 355,110.80 is: 533,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,827.60 : 690,259.80 = 355,110.80 : x
  2. Step 2: Convert to fraction form
    459,827.60/690,259.80 = 355,110.80/x
  3. Step 3: Cross multiply
    459,827.60x = 690,259.80 × 355,110.80
  4. Step 4: Simplify right side
    459,827.60x = 245,118,709,785.84
  5. Step 5: Solve for x
    x = 245,118,709,785.84/459,827.60
  6. Step 6: Final answer
    x = 533,066.54

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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.