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Finding the Fourth Proportional to 292,289.40, 438,434.10 and 280,625.40

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Solution

The fourth proportional to 292,289.40, 438,434.10 and 280,625.40 is: 420,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,289.40 : 438,434.10 = 280,625.40 : x
  2. Step 2: Convert to fraction form
    292,289.40/438,434.10 = 280,625.40/x
  3. Step 3: Cross multiply
    292,289.40x = 438,434.10 × 280,625.40
  4. Step 4: Simplify right side
    292,289.40x = 123,035,744,686.14
  5. Step 5: Solve for x
    x = 123,035,744,686.14/292,289.40
  6. Step 6: Final answer
    x = 420,938.10

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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.