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Finding the Fourth Proportional to 307,266.60, 460,899.90 and 286,271.40

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Solution

The fourth proportional to 307,266.60, 460,899.90 and 286,271.40 is: 429,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,266.60 : 460,899.90 = 286,271.40 : x
  2. Step 2: Convert to fraction form
    307,266.60/460,899.90 = 286,271.40/x
  3. Step 3: Cross multiply
    307,266.60x = 460,899.90 × 286,271.40
  4. Step 4: Simplify right side
    307,266.60x = 131,942,459,632.86
  5. Step 5: Solve for x
    x = 131,942,459,632.86/307,266.60
  6. Step 6: Final answer
    x = 429,407.10

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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.