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Finding the Fourth Proportional to 522,969.60, 784,972.80 and 257,030.40

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Solution

The fourth proportional to 522,969.60, 784,972.80 and 257,030.40 is: 385,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,969.60 : 784,972.80 = 257,030.40 : x
  2. Step 2: Convert to fraction form
    522,969.60/784,972.80 = 257,030.40/x
  3. Step 3: Cross multiply
    522,969.60x = 784,972.80 × 257,030.40
  4. Step 4: Simplify right side
    522,969.60x = 201,761,872,773.12
  5. Step 5: Solve for x
    x = 201,761,872,773.12/522,969.60
  6. Step 6: Final answer
    x = 385,800.38

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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.