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Finding the Fourth Proportional to 286,377.74, 429,402 and 118,014.30

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Solution

The fourth proportional to 286,377.74, 429,402 and 118,014.30 is: 176,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,377.74 : 429,402 = 118,014.30 : x
  2. Step 2: Convert to fraction form
    286,377.74/429,402 = 118,014.30/x
  3. Step 3: Cross multiply
    286,377.74x = 429,402 × 118,014.30
  4. Step 4: Simplify right side
    286,377.74x = 50,675,576,448.60
  5. Step 5: Solve for x
    x = 50,675,576,448.60/286,377.74
  6. Step 6: Final answer
    x = 176,953.62

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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.