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Finding the Fourth Proportional to 522,987.60, 784,999.80 and 257,048.40

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Solution

The fourth proportional to 522,987.60, 784,999.80 and 257,048.40 is: 385,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,987.60 : 784,999.80 = 257,048.40 : x
  2. Step 2: Convert to fraction form
    522,987.60/784,999.80 = 257,048.40/x
  3. Step 3: Cross multiply
    522,987.60x = 784,999.80 × 257,048.40
  4. Step 4: Simplify right side
    522,987.60x = 201,782,942,590.32
  5. Step 5: Solve for x
    x = 201,782,942,590.32/522,987.60
  6. Step 6: Final answer
    x = 385,827.39

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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.