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Finding the Fourth Proportional to 652,205.10, 978,307.65 and 278,957.10

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Solution

The fourth proportional to 652,205.10, 978,307.65 and 278,957.10 is: 418,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,205.10 : 978,307.65 = 278,957.10 : x
  2. Step 2: Convert to fraction form
    652,205.10/978,307.65 = 278,957.10/x
  3. Step 3: Cross multiply
    652,205.10x = 978,307.65 × 278,957.10
  4. Step 4: Simplify right side
    652,205.10x = 272,905,864,951.82
  5. Step 5: Solve for x
    x = 272,905,864,951.82/652,205.10
  6. Step 6: Final answer
    x = 418,435.65

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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.