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Finding the Fourth Proportional to 438,430.40, 657,645.60 and 349,200.80

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Solution

The fourth proportional to 438,430.40, 657,645.60 and 349,200.80 is: 523,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,430.40 : 657,645.60 = 349,200.80 : x
  2. Step 2: Convert to fraction form
    438,430.40/657,645.60 = 349,200.80/x
  3. Step 3: Cross multiply
    438,430.40x = 657,645.60 × 349,200.80
  4. Step 4: Simplify right side
    438,430.40x = 229,650,369,636.48
  5. Step 5: Solve for x
    x = 229,650,369,636.48/438,430.40
  6. Step 6: Final answer
    x = 523,801.20

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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.