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Finding the Fourth Proportional to 315,669, 435,620.64 and 172,429.08

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Solution

The fourth proportional to 315,669, 435,620.64 and 172,429.08 is: 237,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,669 : 435,620.64 = 172,429.08 : x
  2. Step 2: Convert to fraction form
    315,669/435,620.64 = 172,429.08/x
  3. Step 3: Cross multiply
    315,669x = 435,620.64 × 172,429.08
  4. Step 4: Simplify right side
    315,669x = 75,113,666,184.21
  5. Step 5: Solve for x
    x = 75,113,666,184.21/315,669
  6. Step 6: Final answer
    x = 237,950.72

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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.