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Finding the Fourth Proportional to 519,088.30, 778,851.15 and 282,600.70

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Solution

The fourth proportional to 519,088.30, 778,851.15 and 282,600.70 is: 424,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,088.30 : 778,851.15 = 282,600.70 : x
  2. Step 2: Convert to fraction form
    519,088.30/778,851.15 = 282,600.70/x
  3. Step 3: Cross multiply
    519,088.30x = 778,851.15 × 282,600.70
  4. Step 4: Simplify right side
    519,088.30x = 220,103,880,185.81
  5. Step 5: Solve for x
    x = 220,103,880,185.81/519,088.30
  6. Step 6: Final answer
    x = 424,020.11

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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.