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Finding the Fourth Proportional to 430,498, 645,850.68 and 135,010

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Solution

The fourth proportional to 430,498, 645,850.68 and 135,010 is: 202,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,498 : 645,850.68 = 135,010 : x
  2. Step 2: Convert to fraction form
    430,498/645,850.68 = 135,010/x
  3. Step 3: Cross multiply
    430,498x = 645,850.68 × 135,010
  4. Step 4: Simplify right side
    430,498x = 87,196,300,306.80
  5. Step 5: Solve for x
    x = 87,196,300,306.80/430,498
  6. Step 6: Final answer
    x = 202,547.52

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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.