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Finding the Fourth Proportional to 559,221.30, 771,697.90 and 317,472.14

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Solution

The fourth proportional to 559,221.30, 771,697.90 and 317,472.14 is: 438,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,221.30 : 771,697.90 = 317,472.14 : x
  2. Step 2: Convert to fraction form
    559,221.30/771,697.90 = 317,472.14/x
  3. Step 3: Cross multiply
    559,221.30x = 771,697.90 × 317,472.14
  4. Step 4: Simplify right side
    559,221.30x = 244,992,583,746.51
  5. Step 5: Solve for x
    x = 244,992,583,746.51/559,221.30
  6. Step 6: Final answer
    x = 438,095.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.