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Finding the Fourth Proportional to 365,038.60, 547,298.70 and 140,312.20

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Solution

The fourth proportional to 365,038.60, 547,298.70 and 140,312.20 is: 210,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,038.60 : 547,298.70 = 140,312.20 : x
  2. Step 2: Convert to fraction form
    365,038.60/547,298.70 = 140,312.20/x
  3. Step 3: Cross multiply
    365,038.60x = 547,298.70 × 140,312.20
  4. Step 4: Simplify right side
    365,038.60x = 76,792,684,654.14
  5. Step 5: Solve for x
    x = 76,792,684,654.14/365,038.60
  6. Step 6: Final answer
    x = 210,368.67

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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.