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Finding the Fourth Proportional to 434,710.72, 599,678.40 and 289,766.08

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Solution

The fourth proportional to 434,710.72, 599,678.40 and 289,766.08 is: 399,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,710.72 : 599,678.40 = 289,766.08 : x
  2. Step 2: Convert to fraction form
    434,710.72/599,678.40 = 289,766.08/x
  3. Step 3: Cross multiply
    434,710.72x = 599,678.40 × 289,766.08
  4. Step 4: Simplify right side
    434,710.72x = 173,766,459,228.67
  5. Step 5: Solve for x
    x = 173,766,459,228.67/434,710.72
  6. Step 6: Final answer
    x = 399,728.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.