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Finding the Fourth Proportional to 460,688.78, 691,088.54 and 435,494.54

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Solution

The fourth proportional to 460,688.78, 691,088.54 and 435,494.54 is: 653,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,688.78 : 691,088.54 = 435,494.54 : x
  2. Step 2: Convert to fraction form
    460,688.78/691,088.54 = 435,494.54/x
  3. Step 3: Cross multiply
    460,688.78x = 691,088.54 × 435,494.54
  4. Step 4: Simplify right side
    460,688.78x = 300,965,287,826.48
  5. Step 5: Solve for x
    x = 300,965,287,826.48/460,688.78
  6. Step 6: Final answer
    x = 653,294.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.