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Finding the Fourth Proportional to 488,971.58, 732,577.49 and 460,128.08

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Solution

The fourth proportional to 488,971.58, 732,577.49 and 460,128.08 is: 689,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,971.58 : 732,577.49 = 460,128.08 : x
  2. Step 2: Convert to fraction form
    488,971.58/732,577.49 = 460,128.08/x
  3. Step 3: Cross multiply
    488,971.58x = 732,577.49 × 460,128.08
  4. Step 4: Simplify right side
    488,971.58x = 337,079,467,961.39
  5. Step 5: Solve for x
    x = 337,079,467,961.39/488,971.58
  6. Step 6: Final answer
    x = 689,364.14

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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.