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Finding the Fourth Proportional to 435,379, 653,068.50 and 154,897.06

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Solution

The fourth proportional to 435,379, 653,068.50 and 154,897.06 is: 232,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,379 : 653,068.50 = 154,897.06 : x
  2. Step 2: Convert to fraction form
    435,379/653,068.50 = 154,897.06/x
  3. Step 3: Cross multiply
    435,379x = 653,068.50 × 154,897.06
  4. Step 4: Simplify right side
    435,379x = 101,158,390,628.61
  5. Step 5: Solve for x
    x = 101,158,390,628.61/435,379
  6. Step 6: Final answer
    x = 232,345.59

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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.