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Finding the Fourth Proportional to 518,476.65, 715,500.74 and 289,048.50

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Solution

The fourth proportional to 518,476.65, 715,500.74 and 289,048.50 is: 398,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,476.65 : 715,500.74 = 289,048.50 : x
  2. Step 2: Convert to fraction form
    518,476.65/715,500.74 = 289,048.50/x
  3. Step 3: Cross multiply
    518,476.65x = 715,500.74 × 289,048.50
  4. Step 4: Simplify right side
    518,476.65x = 206,814,416,368.51
  5. Step 5: Solve for x
    x = 206,814,416,368.51/518,476.65
  6. Step 6: Final answer
    x = 398,888.59

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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.