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Finding the Fourth Proportional to 530,847.36, 732,582.72 and 289,143

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Solution

The fourth proportional to 530,847.36, 732,582.72 and 289,143 is: 399,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,847.36 : 732,582.72 = 289,143 : x
  2. Step 2: Convert to fraction form
    530,847.36/732,582.72 = 289,143/x
  3. Step 3: Cross multiply
    530,847.36x = 732,582.72 × 289,143
  4. Step 4: Simplify right side
    530,847.36x = 211,821,165,408.96
  5. Step 5: Solve for x
    x = 211,821,165,408.96/530,847.36
  6. Step 6: Final answer
    x = 399,024.62

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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.