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Finding the Fourth Proportional to 511,417.12, 767,388.48 and 392,239.68

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Solution

The fourth proportional to 511,417.12, 767,388.48 and 392,239.68 is: 588,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,417.12 : 767,388.48 = 392,239.68 : x
  2. Step 2: Convert to fraction form
    511,417.12/767,388.48 = 392,239.68/x
  3. Step 3: Cross multiply
    511,417.12x = 767,388.48 × 392,239.68
  4. Step 4: Simplify right side
    511,417.12x = 301,000,211,830.89
  5. Step 5: Solve for x
    x = 301,000,211,830.89/511,417.12
  6. Step 6: Final answer
    x = 588,561.08

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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.