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Finding the Fourth Proportional to 684,341.60, 944,427.31 and 412,495.88

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Solution

The fourth proportional to 684,341.60, 944,427.31 and 412,495.88 is: 569,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,341.60 : 944,427.31 = 412,495.88 : x
  2. Step 2: Convert to fraction form
    684,341.60/944,427.31 = 412,495.88/x
  3. Step 3: Cross multiply
    684,341.60x = 944,427.31 × 412,495.88
  4. Step 4: Simplify right side
    684,341.60x = 389,572,374,334.48
  5. Step 5: Solve for x
    x = 389,572,374,334.48/684,341.60
  6. Step 6: Final answer
    x = 569,265.95

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1.5x scale

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.