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Finding the Fourth Proportional to 292,430.40, 438,645.60 and 105,460.80

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Solution

The fourth proportional to 292,430.40, 438,645.60 and 105,460.80 is: 158,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,430.40 : 438,645.60 = 105,460.80 : x
  2. Step 2: Convert to fraction form
    292,430.40/438,645.60 = 105,460.80/x
  3. Step 3: Cross multiply
    292,430.40x = 438,645.60 × 105,460.80
  4. Step 4: Simplify right side
    292,430.40x = 46,259,915,892.48
  5. Step 5: Solve for x
    x = 46,259,915,892.48/292,430.40
  6. Step 6: Final answer
    x = 158,191.20

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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.