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Finding the Fourth Proportional to 398,004.66, 549,474.21 and 262,432.98

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Solution

The fourth proportional to 398,004.66, 549,474.21 and 262,432.98 is: 362,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,004.66 : 549,474.21 = 262,432.98 : x
  2. Step 2: Convert to fraction form
    398,004.66/549,474.21 = 262,432.98/x
  3. Step 3: Cross multiply
    398,004.66x = 549,474.21 × 262,432.98
  4. Step 4: Simplify right side
    398,004.66x = 144,200,154,363.45
  5. Step 5: Solve for x
    x = 144,200,154,363.45/398,004.66
  6. Step 6: Final answer
    x = 362,307.70

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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.