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Finding the Fourth Proportional to 684,762.08, 945,101.40 and 458,800.16

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Solution

The fourth proportional to 684,762.08, 945,101.40 and 458,800.16 is: 633,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,762.08 : 945,101.40 = 458,800.16 : x
  2. Step 2: Convert to fraction form
    684,762.08/945,101.40 = 458,800.16/x
  3. Step 3: Cross multiply
    684,762.08x = 945,101.40 × 458,800.16
  4. Step 4: Simplify right side
    684,762.08x = 433,612,673,536.22
  5. Step 5: Solve for x
    x = 433,612,673,536.22/684,762.08
  6. Step 6: Final answer
    x = 633,231.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.