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Finding the Fourth Proportional to 460,688.82, 635,770.20 and 256,740

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Solution

The fourth proportional to 460,688.82, 635,770.20 and 256,740 is: 354,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,688.82 : 635,770.20 = 256,740 : x
  2. Step 2: Convert to fraction form
    460,688.82/635,770.20 = 256,740/x
  3. Step 3: Cross multiply
    460,688.82x = 635,770.20 × 256,740
  4. Step 4: Simplify right side
    460,688.82x = 163,227,641,148
  5. Step 5: Solve for x
    x = 163,227,641,148/460,688.82
  6. Step 6: Final answer
    x = 354,312.14

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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.