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Finding the Fourth Proportional to 420,210, 630,320.49 and 139,727.25

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Solution

The fourth proportional to 420,210, 630,320.49 and 139,727.25 is: 209,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,210 : 630,320.49 = 139,727.25 : x
  2. Step 2: Convert to fraction form
    420,210/630,320.49 = 139,727.25/x
  3. Step 3: Cross multiply
    420,210x = 630,320.49 × 139,727.25
  4. Step 4: Simplify right side
    420,210x = 88,072,948,686.35
  5. Step 5: Solve for x
    x = 88,072,948,686.35/420,210
  6. Step 6: Final answer
    x = 209,592.70

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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.