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Finding the Fourth Proportional to 513,140.60, 708,153.72 and 340,760.55

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Solution

The fourth proportional to 513,140.60, 708,153.72 and 340,760.55 is: 470,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,140.60 : 708,153.72 = 340,760.55 : x
  2. Step 2: Convert to fraction form
    513,140.60/708,153.72 = 340,760.55/x
  3. Step 3: Cross multiply
    513,140.60x = 708,153.72 × 340,760.55
  4. Step 4: Simplify right side
    513,140.60x = 241,310,851,111.75
  5. Step 5: Solve for x
    x = 241,310,851,111.75/513,140.60
  6. Step 6: Final answer
    x = 470,262.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.