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Finding the Fourth Proportional to 515,038.50, 710,775 and 288,684

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Solution

The fourth proportional to 515,038.50, 710,775 and 288,684 is: 398,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,038.50 : 710,775 = 288,684 : x
  2. Step 2: Convert to fraction form
    515,038.50/710,775 = 288,684/x
  3. Step 3: Cross multiply
    515,038.50x = 710,775 × 288,684
  4. Step 4: Simplify right side
    515,038.50x = 205,189,370,100
  5. Step 5: Solve for x
    x = 205,189,370,100/515,038.50
  6. Step 6: Final answer
    x = 398,396.18

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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.