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Finding the Fourth Proportional to 458,647.44, 687,946.86 and 143,068.20

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Solution

The fourth proportional to 458,647.44, 687,946.86 and 143,068.20 is: 214,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,647.44 : 687,946.86 = 143,068.20 : x
  2. Step 2: Convert to fraction form
    458,647.44/687,946.86 = 143,068.20/x
  3. Step 3: Cross multiply
    458,647.44x = 687,946.86 × 143,068.20
  4. Step 4: Simplify right side
    458,647.44x = 98,423,318,955.85
  5. Step 5: Solve for x
    x = 98,423,318,955.85/458,647.44
  6. Step 6: Final answer
    x = 214,594.72

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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.