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Finding the Fourth Proportional to 287,172.93, 430,904.72 and 118,814.08

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Solution

The fourth proportional to 287,172.93, 430,904.72 and 118,814.08 is: 178,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,172.93 : 430,904.72 = 118,814.08 : x
  2. Step 2: Convert to fraction form
    287,172.93/430,904.72 = 118,814.08/x
  3. Step 3: Cross multiply
    287,172.93x = 430,904.72 × 118,814.08
  4. Step 4: Simplify right side
    287,172.93x = 51,197,546,648.68
  5. Step 5: Solve for x
    x = 51,197,546,648.68/287,172.93
  6. Step 6: Final answer
    x = 178,281.24

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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.