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Finding the Fourth Proportional to 520,745.30, 781,701.15 and 402,938.90

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Solution

The fourth proportional to 520,745.30, 781,701.15 and 402,938.90 is: 604,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,745.30 : 781,701.15 = 402,938.90 : x
  2. Step 2: Convert to fraction form
    520,745.30/781,701.15 = 402,938.90/x
  3. Step 3: Cross multiply
    520,745.30x = 781,701.15 × 402,938.90
  4. Step 4: Simplify right side
    520,745.30x = 314,977,801,509.74
  5. Step 5: Solve for x
    x = 314,977,801,509.74/520,745.30
  6. Step 6: Final answer
    x = 604,859.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.