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Finding the Fourth Proportional to 306,033.10, 458,830.95 and 137,415.40

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Solution

The fourth proportional to 306,033.10, 458,830.95 and 137,415.40 is: 206,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,033.10 : 458,830.95 = 137,415.40 : x
  2. Step 2: Convert to fraction form
    306,033.10/458,830.95 = 137,415.40/x
  3. Step 3: Cross multiply
    306,033.10x = 458,830.95 × 137,415.40
  4. Step 4: Simplify right side
    306,033.10x = 63,050,438,526.63
  5. Step 5: Solve for x
    x = 63,050,438,526.63/306,033.10
  6. Step 6: Final answer
    x = 206,024.90

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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.