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Finding the Fourth Proportional to 569,740.32, 854,347 and 209,820.32

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Solution

The fourth proportional to 569,740.32, 854,347 and 209,820.32 is: 314,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,740.32 : 854,347 = 209,820.32 : x
  2. Step 2: Convert to fraction form
    569,740.32/854,347 = 209,820.32/x
  3. Step 3: Cross multiply
    569,740.32x = 854,347 × 209,820.32
  4. Step 4: Simplify right side
    569,740.32x = 179,259,360,931.04
  5. Step 5: Solve for x
    x = 179,259,360,931.04/569,740.32
  6. Step 6: Final answer
    x = 314,633.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.