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Finding the Fourth Proportional to 840,730, 1,160,203.24 and 458,755.60

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Solution

The fourth proportional to 840,730, 1,160,203.24 and 458,755.60 is: 633,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,730 : 1,160,203.24 = 458,755.60 : x
  2. Step 2: Convert to fraction form
    840,730/1,160,203.24 = 458,755.60/x
  3. Step 3: Cross multiply
    840,730x = 1,160,203.24 × 458,755.60
  4. Step 4: Simplify right side
    840,730x = 532,249,733,488.14
  5. Step 5: Solve for x
    x = 532,249,733,488.14/840,730
  6. Step 6: Final answer
    x = 633,080.46

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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.