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Finding the Fourth Proportional to 530,487.76, 730,678.54 and 407,745.40

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Solution

The fourth proportional to 530,487.76, 730,678.54 and 407,745.40 is: 561,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,487.76 : 730,678.54 = 407,745.40 : x
  2. Step 2: Convert to fraction form
    530,487.76/730,678.54 = 407,745.40/x
  3. Step 3: Cross multiply
    530,487.76x = 730,678.54 × 407,745.40
  4. Step 4: Simplify right side
    530,487.76x = 297,930,813,563.72
  5. Step 5: Solve for x
    x = 297,930,813,563.72/530,487.76
  6. Step 6: Final answer
    x = 561,616.75

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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.