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Finding the Fourth Proportional to 530,594.41, 732,220.40 and 288,877

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Solution

The fourth proportional to 530,594.41, 732,220.40 and 288,877 is: 398,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,594.41 : 732,220.40 = 288,877 : x
  2. Step 2: Convert to fraction form
    530,594.41/732,220.40 = 288,877/x
  3. Step 3: Cross multiply
    530,594.41x = 732,220.40 × 288,877
  4. Step 4: Simplify right side
    530,594.41x = 211,521,632,490.80
  5. Step 5: Solve for x
    x = 211,521,632,490.80/530,594.41
  6. Step 6: Final answer
    x = 398,650.32

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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.