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Finding the Fourth Proportional to 420,203.71, 630,220.51 and 153,873.28

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Solution

The fourth proportional to 420,203.71, 630,220.51 and 153,873.28 is: 230,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,203.71 : 630,220.51 = 153,873.28 : x
  2. Step 2: Convert to fraction form
    420,203.71/630,220.51 = 153,873.28/x
  3. Step 3: Cross multiply
    420,203.71x = 630,220.51 × 153,873.28
  4. Step 4: Simplify right side
    420,203.71x = 96,974,093,076.50
  5. Step 5: Solve for x
    x = 96,974,093,076.50/420,203.71
  6. Step 6: Final answer
    x = 230,778.77

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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.