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Finding the Fourth Proportional to 530,877.84, 796,644 and 215,337.48

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Solution

The fourth proportional to 530,877.84, 796,644 and 215,337.48 is: 323,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,877.84 : 796,644 = 215,337.48 : x
  2. Step 2: Convert to fraction form
    530,877.84/796,644 = 215,337.48/x
  3. Step 3: Cross multiply
    530,877.84x = 796,644 × 215,337.48
  4. Step 4: Simplify right side
    530,877.84x = 171,547,311,417.12
  5. Step 5: Solve for x
    x = 171,547,311,417.12/530,877.84
  6. Step 6: Final answer
    x = 323,138.96

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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.