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Finding the Fourth Proportional to 539,964, 745,150.32 and 301,500

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Solution

The fourth proportional to 539,964, 745,150.32 and 301,500 is: 416,070.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,964 : 745,150.32 = 301,500 : x
  2. Step 2: Convert to fraction form
    539,964/745,150.32 = 301,500/x
  3. Step 3: Cross multiply
    539,964x = 745,150.32 × 301,500
  4. Step 4: Simplify right side
    539,964x = 224,662,821,480.00
  5. Step 5: Solve for x
    x = 224,662,821,480.00/539,964
  6. Step 6: Final answer
    x = 416,070.00

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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.