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Finding the Fourth Proportional to 420,312.69, 630,422.32 and 150,429.94

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Solution

The fourth proportional to 420,312.69, 630,422.32 and 150,429.94 is: 225,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,312.69 : 630,422.32 = 150,429.94 : x
  2. Step 2: Convert to fraction form
    420,312.69/630,422.32 = 150,429.94/x
  3. Step 3: Cross multiply
    420,312.69x = 630,422.32 × 150,429.94
  4. Step 4: Simplify right side
    420,312.69x = 94,834,391,772.26
  5. Step 5: Solve for x
    x = 94,834,391,772.26/420,312.69
  6. Step 6: Final answer
    x = 225,628.19

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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.