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Finding the Fourth Proportional to 468,129.83, 646,465.34 and 442,626.53

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Solution

The fourth proportional to 468,129.83, 646,465.34 and 442,626.53 is: 611,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,129.83 : 646,465.34 = 442,626.53 : x
  2. Step 2: Convert to fraction form
    468,129.83/646,465.34 = 442,626.53/x
  3. Step 3: Cross multiply
    468,129.83x = 646,465.34 × 442,626.53
  4. Step 4: Simplify right side
    468,129.83x = 286,142,704,764.01
  5. Step 5: Solve for x
    x = 286,142,704,764.01/468,129.83
  6. Step 6: Final answer
    x = 611,246.46

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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.