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Finding the Fourth Proportional to 289,354.86, 434,312.85 and 139,700.70

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Solution

The fourth proportional to 289,354.86, 434,312.85 and 139,700.70 is: 209,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,354.86 : 434,312.85 = 139,700.70 : x
  2. Step 2: Convert to fraction form
    289,354.86/434,312.85 = 139,700.70/x
  3. Step 3: Cross multiply
    289,354.86x = 434,312.85 × 139,700.70
  4. Step 4: Simplify right side
    289,354.86x = 60,673,809,164.00
  5. Step 5: Solve for x
    x = 60,673,809,164.00/289,354.86
  6. Step 6: Final answer
    x = 209,686.50

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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.