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Finding the Fourth Proportional to 520,038.60, 780,000.30 and 146,099.40

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Solution

The fourth proportional to 520,038.60, 780,000.30 and 146,099.40 is: 219,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,038.60 : 780,000.30 = 146,099.40 : x
  2. Step 2: Convert to fraction form
    520,038.60/780,000.30 = 146,099.40/x
  3. Step 3: Cross multiply
    520,038.60x = 780,000.30 × 146,099.40
  4. Step 4: Simplify right side
    520,038.60x = 113,957,575,829.82
  5. Step 5: Solve for x
    x = 113,957,575,829.82/520,038.60
  6. Step 6: Final answer
    x = 219,132.92

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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.