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Finding the Fourth Proportional to 208,602,820.80, 312,904,231.20 and 55,272,542.40

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Solution

The fourth proportional to 208,602,820.80, 312,904,231.20 and 55,272,542.40 is: 82,908,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,602,820.80 : 312,904,231.20 = 55,272,542.40 : x
  2. Step 2: Convert to fraction form
    208,602,820.80/312,904,231.20 = 55,272,542.40/x
  3. Step 3: Cross multiply
    208,602,820.80x = 312,904,231.20 × 55,272,542.40
  4. Step 4: Simplify right side
    208,602,820.80x = 17,295,012,386,141,402
  5. Step 5: Solve for x
    x = 17,295,012,386,141,402/208,602,820.80
  6. Step 6: Final answer
    x = 82,908,813.60

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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.