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Finding the Fourth Proportional to 420,641.84, 580,482.74 and 229,655.23

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Solution

The fourth proportional to 420,641.84, 580,482.74 and 229,655.23 is: 316,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,641.84 : 580,482.74 = 229,655.23 : x
  2. Step 2: Convert to fraction form
    420,641.84/580,482.74 = 229,655.23/x
  3. Step 3: Cross multiply
    420,641.84x = 580,482.74 × 229,655.23
  4. Step 4: Simplify right side
    420,641.84x = 133,310,893,115.04
  5. Step 5: Solve for x
    x = 133,310,893,115.04/420,641.84
  6. Step 6: Final answer
    x = 316,922.57

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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.