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Finding the Fourth Proportional to 298,528.79, 447,710.05 and 98,864.74

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Solution

The fourth proportional to 298,528.79, 447,710.05 and 98,864.74 is: 148,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,528.79 : 447,710.05 = 98,864.74 : x
  2. Step 2: Convert to fraction form
    298,528.79/447,710.05 = 98,864.74/x
  3. Step 3: Cross multiply
    298,528.79x = 447,710.05 × 98,864.74
  4. Step 4: Simplify right side
    298,528.79x = 44,262,737,688.64
  5. Step 5: Solve for x
    x = 44,262,737,688.64/298,528.79
  6. Step 6: Final answer
    x = 148,269.58

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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.