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Finding the Fourth Proportional to 501,856.80, 752,785.20 and 461,421.60

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Solution

The fourth proportional to 501,856.80, 752,785.20 and 461,421.60 is: 692,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,856.80 : 752,785.20 = 461,421.60 : x
  2. Step 2: Convert to fraction form
    501,856.80/752,785.20 = 461,421.60/x
  3. Step 3: Cross multiply
    501,856.80x = 752,785.20 × 461,421.60
  4. Step 4: Simplify right side
    501,856.80x = 347,351,351,440.32
  5. Step 5: Solve for x
    x = 347,351,351,440.32/501,856.80
  6. Step 6: Final answer
    x = 692,132.40

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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.