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Finding the Fourth Proportional to 385,438.80, 577,812.60 and 343,448.40

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Solution

The fourth proportional to 385,438.80, 577,812.60 and 343,448.40 is: 514,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,438.80 : 577,812.60 = 343,448.40 : x
  2. Step 2: Convert to fraction form
    385,438.80/577,812.60 = 343,448.40/x
  3. Step 3: Cross multiply
    385,438.80x = 577,812.60 × 343,448.40
  4. Step 4: Simplify right side
    385,438.80x = 198,448,812,969.84
  5. Step 5: Solve for x
    x = 198,448,812,969.84/385,438.80
  6. Step 6: Final answer
    x = 514,864.65

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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.