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Finding the Fourth Proportional to 289,267.40, 434,117.10 and 148,953.80

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Solution

The fourth proportional to 289,267.40, 434,117.10 and 148,953.80 is: 223,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,267.40 : 434,117.10 = 148,953.80 : x
  2. Step 2: Convert to fraction form
    289,267.40/434,117.10 = 148,953.80/x
  3. Step 3: Cross multiply
    289,267.40x = 434,117.10 × 148,953.80
  4. Step 4: Simplify right side
    289,267.40x = 64,663,391,689.98
  5. Step 5: Solve for x
    x = 64,663,391,689.98/289,267.40
  6. Step 6: Final answer
    x = 223,541.93

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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.