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Finding the Fourth Proportional to 477,032.40, 715,548.60 and 290,408.40

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Solution

The fourth proportional to 477,032.40, 715,548.60 and 290,408.40 is: 435,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,032.40 : 715,548.60 = 290,408.40 : x
  2. Step 2: Convert to fraction form
    477,032.40/715,548.60 = 290,408.40/x
  3. Step 3: Cross multiply
    477,032.40x = 715,548.60 × 290,408.40
  4. Step 4: Simplify right side
    477,032.40x = 207,801,324,048.24
  5. Step 5: Solve for x
    x = 207,801,324,048.24/477,032.40
  6. Step 6: Final answer
    x = 435,612.60

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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.