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Finding the Fourth Proportional to 419,209, 578,552.16 and 237,969.88

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Solution

The fourth proportional to 419,209, 578,552.16 and 237,969.88 is: 328,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,209 : 578,552.16 = 237,969.88 : x
  2. Step 2: Convert to fraction form
    419,209/578,552.16 = 237,969.88/x
  3. Step 3: Cross multiply
    419,209x = 578,552.16 × 237,969.88
  4. Step 4: Simplify right side
    419,209x = 137,677,988,088.94
  5. Step 5: Solve for x
    x = 137,677,988,088.94/419,209
  6. Step 6: Final answer
    x = 328,423.26

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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.