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Finding the Fourth Proportional to 306,560, 423,048.64 and 172,424.32

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Solution

The fourth proportional to 306,560, 423,048.64 and 172,424.32 is: 237,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,560 : 423,048.64 = 172,424.32 : x
  2. Step 2: Convert to fraction form
    306,560/423,048.64 = 172,424.32/x
  3. Step 3: Cross multiply
    306,560x = 423,048.64 × 172,424.32
  4. Step 4: Simplify right side
    306,560x = 72,943,874,078.92
  5. Step 5: Solve for x
    x = 72,943,874,078.92/306,560
  6. Step 6: Final answer
    x = 237,943.22

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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.