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Finding the Fourth Proportional to 369,424.92, 509,775.66 and 208,319.70

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Solution

The fourth proportional to 369,424.92, 509,775.66 and 208,319.70 is: 287,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,424.92 : 509,775.66 = 208,319.70 : x
  2. Step 2: Convert to fraction form
    369,424.92/509,775.66 = 208,319.70/x
  3. Step 3: Cross multiply
    369,424.92x = 509,775.66 × 208,319.70
  4. Step 4: Simplify right side
    369,424.92x = 106,196,312,558.50
  5. Step 5: Solve for x
    x = 106,196,312,558.50/369,424.92
  6. Step 6: Final answer
    x = 287,463.86

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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.