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Finding the Fourth Proportional to 498,292.20, 745,688.70 and 340,828.20

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Solution

The fourth proportional to 498,292.20, 745,688.70 and 340,828.20 is: 510,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,292.20 : 745,688.70 = 340,828.20 : x
  2. Step 2: Convert to fraction form
    498,292.20/745,688.70 = 340,828.20/x
  3. Step 3: Cross multiply
    498,292.20x = 745,688.70 × 340,828.20
  4. Step 4: Simplify right side
    498,292.20x = 254,151,737,381.34
  5. Step 5: Solve for x
    x = 254,151,737,381.34/498,292.20
  6. Step 6: Final answer
    x = 510,045.59

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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.