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Finding the Fourth Proportional to 407,532.56, 562,482.96 and 310,987.28

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Solution

The fourth proportional to 407,532.56, 562,482.96 and 310,987.28 is: 429,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,532.56 : 562,482.96 = 310,987.28 : x
  2. Step 2: Convert to fraction form
    407,532.56/562,482.96 = 310,987.28/x
  3. Step 3: Cross multiply
    407,532.56x = 562,482.96 × 310,987.28
  4. Step 4: Simplify right side
    407,532.56x = 174,925,045,776.75
  5. Step 5: Solve for x
    x = 174,925,045,776.75/407,532.56
  6. Step 6: Final answer
    x = 429,229.62

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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.