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Finding the Fourth Proportional to 410,158.72, 615,176.64 and 340,485.76

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Solution

The fourth proportional to 410,158.72, 615,176.64 and 340,485.76 is: 510,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,158.72 : 615,176.64 = 340,485.76 : x
  2. Step 2: Convert to fraction form
    410,158.72/615,176.64 = 340,485.76/x
  3. Step 3: Cross multiply
    410,158.72x = 615,176.64 × 340,485.76
  4. Step 4: Simplify right side
    410,158.72x = 209,458,885,804.65
  5. Step 5: Solve for x
    x = 209,458,885,804.65/410,158.72
  6. Step 6: Final answer
    x = 510,677.64

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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.