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Finding the Fourth Proportional to 528,049.60, 728,235.84 and 414,675.52

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Solution

The fourth proportional to 528,049.60, 728,235.84 and 414,675.52 is: 571,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,049.60 : 728,235.84 = 414,675.52 : x
  2. Step 2: Convert to fraction form
    528,049.60/728,235.84 = 414,675.52/x
  3. Step 3: Cross multiply
    528,049.60x = 728,235.84 × 414,675.52
  4. Step 4: Simplify right side
    528,049.60x = 301,981,575,634.64
  5. Step 5: Solve for x
    x = 301,981,575,634.64/528,049.60
  6. Step 6: Final answer
    x = 571,881.08

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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.