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Finding the Fourth Proportional to 312,854.60, 469,001.24 and 113,128.04

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Solution

The fourth proportional to 312,854.60, 469,001.24 and 113,128.04 is: 169,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,854.60 : 469,001.24 = 113,128.04 : x
  2. Step 2: Convert to fraction form
    312,854.60/469,001.24 = 113,128.04/x
  3. Step 3: Cross multiply
    312,854.60x = 469,001.24 × 113,128.04
  4. Step 4: Simplify right side
    312,854.60x = 53,057,191,038.77
  5. Step 5: Solve for x
    x = 53,057,191,038.77/312,854.60
  6. Step 6: Final answer
    x = 169,590.57

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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.