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Finding the Fourth Proportional to 292,110.30, 438,165.45 and 286,205.40

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Solution

The fourth proportional to 292,110.30, 438,165.45 and 286,205.40 is: 429,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,110.30 : 438,165.45 = 286,205.40 : x
  2. Step 2: Convert to fraction form
    292,110.30/438,165.45 = 286,205.40/x
  3. Step 3: Cross multiply
    292,110.30x = 438,165.45 × 286,205.40
  4. Step 4: Simplify right side
    292,110.30x = 125,405,317,883.43
  5. Step 5: Solve for x
    x = 125,405,317,883.43/292,110.30
  6. Step 6: Final answer
    x = 429,308.10

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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.