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Finding the Fourth Proportional to 292,513.60, 438,655.20 and 105,428.80

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Solution

The fourth proportional to 292,513.60, 438,655.20 and 105,428.80 is: 158,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,513.60 : 438,655.20 = 105,428.80 : x
  2. Step 2: Convert to fraction form
    292,513.60/438,655.20 = 105,428.80/x
  3. Step 3: Cross multiply
    292,513.60x = 438,655.20 × 105,428.80
  4. Step 4: Simplify right side
    292,513.60x = 46,246,891,349.76
  5. Step 5: Solve for x
    x = 46,246,891,349.76/292,513.60
  6. Step 6: Final answer
    x = 158,101.68

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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.