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Finding the Fourth Proportional to 458,293.72, 687,389.64 and 142,724.20

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Solution

The fourth proportional to 458,293.72, 687,389.64 and 142,724.20 is: 214,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,293.72 : 687,389.64 = 142,724.20 : x
  2. Step 2: Convert to fraction form
    458,293.72/687,389.64 = 142,724.20/x
  3. Step 3: Cross multiply
    458,293.72x = 687,389.64 × 142,724.20
  4. Step 4: Simplify right side
    458,293.72x = 98,107,136,457.29
  5. Step 5: Solve for x
    x = 98,107,136,457.29/458,293.72
  6. Step 6: Final answer
    x = 214,070.44

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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.