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Finding the Fourth Proportional to 420,014.30, 630,035.28 and 116,407.87

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Solution

The fourth proportional to 420,014.30, 630,035.28 and 116,407.87 is: 174,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,014.30 : 630,035.28 = 116,407.87 : x
  2. Step 2: Convert to fraction form
    420,014.30/630,035.28 = 116,407.87/x
  3. Step 3: Cross multiply
    420,014.30x = 630,035.28 × 116,407.87
  4. Step 4: Simplify right side
    420,014.30x = 73,341,063,394.57
  5. Step 5: Solve for x
    x = 73,341,063,394.57/420,014.30
  6. Step 6: Final answer
    x = 174,615.64

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1.5x scale

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.