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Finding the Fourth Proportional to 530,505, 732,096.95 and 288,789.35

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Solution

The fourth proportional to 530,505, 732,096.95 and 288,789.35 is: 398,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,505 : 732,096.95 = 288,789.35 : x
  2. Step 2: Convert to fraction form
    530,505/732,096.95 = 288,789.35/x
  3. Step 3: Cross multiply
    530,505x = 732,096.95 × 288,789.35
  4. Step 4: Simplify right side
    530,505x = 211,421,797,223.05
  5. Step 5: Solve for x
    x = 211,421,797,223.05/530,505
  6. Step 6: Final answer
    x = 398,529.32

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1.5x scale

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.