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Finding the Fourth Proportional to 369,435.15, 509,810.32 and 208,288.80

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Solution

The fourth proportional to 369,435.15, 509,810.32 and 208,288.80 is: 287,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,435.15 : 509,810.32 = 208,288.80 : x
  2. Step 2: Convert to fraction form
    369,435.15/509,810.32 = 208,288.80/x
  3. Step 3: Cross multiply
    369,435.15x = 509,810.32 × 208,288.80
  4. Step 4: Simplify right side
    369,435.15x = 106,187,779,780.42
  5. Step 5: Solve for x
    x = 106,187,779,780.42/369,435.15
  6. Step 6: Final answer
    x = 287,432.80

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1.5x scale

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.