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Finding the Fourth Proportional to 410,999.40, 574,155 and 410,999.40

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Solution

The fourth proportional to 410,999.40, 574,155 and 410,999.40 is: 574,155

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,999.40 : 574,155 = 410,999.40 : x
  2. Step 2: Convert to fraction form
    410,999.40/574,155 = 410,999.40/x
  3. Step 3: Cross multiply
    410,999.40x = 574,155 × 410,999.40
  4. Step 4: Simplify right side
    410,999.40x = 235,977,360,507
  5. Step 5: Solve for x
    x = 235,977,360,507/410,999.40
  6. Step 6: Final answer
    x = 574,155

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.