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Finding the Fourth Proportional to 488,296.81, 731,709.65 and 435,084.07

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Solution

The fourth proportional to 488,296.81, 731,709.65 and 435,084.07 is: 651,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,296.81 : 731,709.65 = 435,084.07 : x
  2. Step 2: Convert to fraction form
    488,296.81/731,709.65 = 435,084.07/x
  3. Step 3: Cross multiply
    488,296.81x = 731,709.65 × 435,084.07
  4. Step 4: Simplify right side
    488,296.81x = 318,355,210,404.86
  5. Step 5: Solve for x
    x = 318,355,210,404.86/488,296.81
  6. Step 6: Final answer
    x = 651,970.69

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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.