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Finding the Fourth Proportional to 659,031.08, 909,462.02 and 357,225

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Solution

The fourth proportional to 659,031.08, 909,462.02 and 357,225 is: 492,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,031.08 : 909,462.02 = 357,225 : x
  2. Step 2: Convert to fraction form
    659,031.08/909,462.02 = 357,225/x
  3. Step 3: Cross multiply
    659,031.08x = 909,462.02 × 357,225
  4. Step 4: Simplify right side
    659,031.08x = 324,882,570,094.50
  5. Step 5: Solve for x
    x = 324,882,570,094.50/659,031.08
  6. Step 6: Final answer
    x = 492,970.03

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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.