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Finding the Fourth Proportional to 357,728.40, 537,629.40 and 312,109.20

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Solution

The fourth proportional to 357,728.40, 537,629.40 and 312,109.20 is: 469,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,728.40 : 537,629.40 = 312,109.20 : x
  2. Step 2: Convert to fraction form
    357,728.40/537,629.40 = 312,109.20/x
  3. Step 3: Cross multiply
    357,728.40x = 537,629.40 × 312,109.20
  4. Step 4: Simplify right side
    357,728.40x = 167,799,081,930.48
  5. Step 5: Solve for x
    x = 167,799,081,930.48/357,728.40
  6. Step 6: Final answer
    x = 469,068.38

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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.