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Finding the Fourth Proportional to 539,328.60, 744,421.50 and 313,047

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Solution

The fourth proportional to 539,328.60, 744,421.50 and 313,047 is: 432,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,328.60 : 744,421.50 = 313,047 : x
  2. Step 2: Convert to fraction form
    539,328.60/744,421.50 = 313,047/x
  3. Step 3: Cross multiply
    539,328.60x = 744,421.50 × 313,047
  4. Step 4: Simplify right side
    539,328.60x = 233,038,917,310.50
  5. Step 5: Solve for x
    x = 233,038,917,310.50/539,328.60
  6. Step 6: Final answer
    x = 432,090.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.