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Finding the Fourth Proportional to 515,281.50, 711,088.47 and 288,927

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Solution

The fourth proportional to 515,281.50, 711,088.47 and 288,927 is: 398,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,281.50 : 711,088.47 = 288,927 : x
  2. Step 2: Convert to fraction form
    515,281.50/711,088.47 = 288,927/x
  3. Step 3: Cross multiply
    515,281.50x = 711,088.47 × 288,927
  4. Step 4: Simplify right side
    515,281.50x = 205,452,658,371.69
  5. Step 5: Solve for x
    x = 205,452,658,371.69/515,281.50
  6. Step 6: Final answer
    x = 398,719.26

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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.