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Finding the Fourth Proportional to 659,166, 909,649.08 and 357,360

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Solution

The fourth proportional to 659,166, 909,649.08 and 357,360 is: 493,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,166 : 909,649.08 = 357,360 : x
  2. Step 2: Convert to fraction form
    659,166/909,649.08 = 357,360/x
  3. Step 3: Cross multiply
    659,166x = 909,649.08 × 357,360
  4. Step 4: Simplify right side
    659,166x = 325,072,195,228.80
  5. Step 5: Solve for x
    x = 325,072,195,228.80/659,166
  6. Step 6: Final answer
    x = 493,156.80

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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.