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Finding the Fourth Proportional to 530,439.16, 732,021.60 and 288,737.50

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Solution

The fourth proportional to 530,439.16, 732,021.60 and 288,737.50 is: 398,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,439.16 : 732,021.60 = 288,737.50 : x
  2. Step 2: Convert to fraction form
    530,439.16/732,021.60 = 288,737.50/x
  3. Step 3: Cross multiply
    530,439.16x = 732,021.60 × 288,737.50
  4. Step 4: Simplify right side
    530,439.16x = 211,362,086,730
  5. Step 5: Solve for x
    x = 211,362,086,730/530,439.16
  6. Step 6: Final answer
    x = 398,466.22

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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.