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Finding the Fourth Proportional to 420,095.70, 630,056.52 and 120,509.64

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Solution

The fourth proportional to 420,095.70, 630,056.52 and 120,509.64 is: 180,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,095.70 : 630,056.52 = 120,509.64 : x
  2. Step 2: Convert to fraction form
    420,095.70/630,056.52 = 120,509.64/x
  3. Step 3: Cross multiply
    420,095.70x = 630,056.52 × 120,509.64
  4. Step 4: Simplify right side
    420,095.70x = 75,927,884,404.85
  5. Step 5: Solve for x
    x = 75,927,884,404.85/420,095.70
  6. Step 6: Final answer
    x = 180,739.49

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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.