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Finding the Fourth Proportional to 515,262, 710,819.64 and 364,442.16

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Solution

The fourth proportional to 515,262, 710,819.64 and 364,442.16 is: 502,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,262 : 710,819.64 = 364,442.16 : x
  2. Step 2: Convert to fraction form
    515,262/710,819.64 = 364,442.16/x
  3. Step 3: Cross multiply
    515,262x = 710,819.64 × 364,442.16
  4. Step 4: Simplify right side
    515,262x = 259,052,644,972.02
  5. Step 5: Solve for x
    x = 259,052,644,972.02/515,262
  6. Step 6: Final answer
    x = 502,759.07

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1.5x scale

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.