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Finding the Fourth Proportional to 472,053.16, 708,079.74 and 139,629.16

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Solution

The fourth proportional to 472,053.16, 708,079.74 and 139,629.16 is: 209,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,053.16 : 708,079.74 = 139,629.16 : x
  2. Step 2: Convert to fraction form
    472,053.16/708,079.74 = 139,629.16/x
  3. Step 3: Cross multiply
    472,053.16x = 708,079.74 × 139,629.16
  4. Step 4: Simplify right side
    472,053.16x = 98,868,579,309.22
  5. Step 5: Solve for x
    x = 98,868,579,309.22/472,053.16
  6. Step 6: Final answer
    x = 209,443.74

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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.