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Finding the Fourth Proportional to 530,439.66, 732,022.29 and 288,738

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Solution

The fourth proportional to 530,439.66, 732,022.29 and 288,738 is: 398,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,439.66 : 732,022.29 = 288,738 : x
  2. Step 2: Convert to fraction form
    530,439.66/732,022.29 = 288,738/x
  3. Step 3: Cross multiply
    530,439.66x = 732,022.29 × 288,738
  4. Step 4: Simplify right side
    530,439.66x = 211,362,651,970.02
  5. Step 5: Solve for x
    x = 211,362,651,970.02/530,439.66
  6. Step 6: Final answer
    x = 398,466.91

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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.