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Finding the Fourth Proportional to 398,025, 549,266.64 and 216,739.14

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Solution

The fourth proportional to 398,025, 549,266.64 and 216,739.14 is: 299,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,025 : 549,266.64 = 216,739.14 : x
  2. Step 2: Convert to fraction form
    398,025/549,266.64 = 216,739.14/x
  3. Step 3: Cross multiply
    398,025x = 549,266.64 × 216,739.14
  4. Step 4: Simplify right side
    398,025x = 119,047,579,184.29
  5. Step 5: Solve for x
    x = 119,047,579,184.29/398,025
  6. Step 6: Final answer
    x = 299,095.73

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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.