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Finding the Fourth Proportional to 420,733, 580,613.69 and 229,746.40

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Solution

The fourth proportional to 420,733, 580,613.69 and 229,746.40 is: 317,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,733 : 580,613.69 = 229,746.40 : x
  2. Step 2: Convert to fraction form
    420,733/580,613.69 = 229,746.40/x
  3. Step 3: Cross multiply
    420,733x = 580,613.69 × 229,746.40
  4. Step 4: Simplify right side
    420,733x = 133,393,905,068.22
  5. Step 5: Solve for x
    x = 133,393,905,068.22/420,733
  6. Step 6: Final answer
    x = 317,051.21

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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.