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Finding the Fourth Proportional to 420,457.63, 630,792.96 and 120,931.78

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Solution

The fourth proportional to 420,457.63, 630,792.96 and 120,931.78 is: 181,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,457.63 : 630,792.96 = 120,931.78 : x
  2. Step 2: Convert to fraction form
    420,457.63/630,792.96 = 120,931.78/x
  3. Step 3: Cross multiply
    420,457.63x = 630,792.96 × 120,931.78
  4. Step 4: Simplify right side
    420,457.63x = 76,282,915,464.27
  5. Step 5: Solve for x
    x = 76,282,915,464.27/420,457.63
  6. Step 6: Final answer
    x = 181,428.31

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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.