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Finding the Fourth Proportional to 659,408.96, 909,984.80 and 357,602.88

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Solution

The fourth proportional to 659,408.96, 909,984.80 and 357,602.88 is: 493,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,408.96 : 909,984.80 = 357,602.88 : x
  2. Step 2: Convert to fraction form
    659,408.96/909,984.80 = 357,602.88/x
  3. Step 3: Cross multiply
    659,408.96x = 909,984.80 × 357,602.88
  4. Step 4: Simplify right side
    659,408.96x = 325,413,185,236.22
  5. Step 5: Solve for x
    x = 325,413,185,236.22/659,408.96
  6. Step 6: Final answer
    x = 493,492.21

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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.