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Finding the Fourth Proportional to 306,401.52, 459,354.36 and 137,798.40

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Solution

The fourth proportional to 306,401.52, 459,354.36 and 137,798.40 is: 206,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,401.52 : 459,354.36 = 137,798.40 : x
  2. Step 2: Convert to fraction form
    306,401.52/459,354.36 = 137,798.40/x
  3. Step 3: Cross multiply
    306,401.52x = 459,354.36 × 137,798.40
  4. Step 4: Simplify right side
    306,401.52x = 63,298,295,841.02
  5. Step 5: Solve for x
    x = 63,298,295,841.02/306,401.52
  6. Step 6: Final answer
    x = 206,586.10

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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.