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Finding the Fourth Proportional to 488,710, 732,834.94 and 189,330.76

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Solution

The fourth proportional to 488,710, 732,834.94 and 189,330.76 is: 283,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,710 : 732,834.94 = 189,330.76 : x
  2. Step 2: Convert to fraction form
    488,710/732,834.94 = 189,330.76/x
  3. Step 3: Cross multiply
    488,710x = 732,834.94 × 189,330.76
  4. Step 4: Simplify right side
    488,710x = 138,748,196,144.75
  5. Step 5: Solve for x
    x = 138,748,196,144.75/488,710
  6. Step 6: Final answer
    x = 283,907.01

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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.