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Finding the Fourth Proportional to 385,809.64, 578,133.29 and 343,765.02

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Solution

The fourth proportional to 385,809.64, 578,133.29 and 343,765.02 is: 515,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,809.64 : 578,133.29 = 343,765.02 : x
  2. Step 2: Convert to fraction form
    385,809.64/578,133.29 = 343,765.02/x
  3. Step 3: Cross multiply
    385,809.64x = 578,133.29 × 343,765.02
  4. Step 4: Simplify right side
    385,809.64x = 198,742,001,999.52
  5. Step 5: Solve for x
    x = 198,742,001,999.52/385,809.64
  6. Step 6: Final answer
    x = 515,129.69

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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.