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Finding the Fourth Proportional to 553,640, 830,813.22 and 198,646.16

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Solution

The fourth proportional to 553,640, 830,813.22 and 198,646.16 is: 298,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,640 : 830,813.22 = 198,646.16 : x
  2. Step 2: Convert to fraction form
    553,640/830,813.22 = 198,646.16/x
  3. Step 3: Cross multiply
    553,640x = 830,813.22 × 198,646.16
  4. Step 4: Simplify right side
    553,640x = 165,037,855,830.24
  5. Step 5: Solve for x
    x = 165,037,855,830.24/553,640
  6. Step 6: Final answer
    x = 298,095.98

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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.