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Finding the Fourth Proportional to 208,032,116.60, 311,450,978.10 and 202,060,148.60

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Solution

The fourth proportional to 208,032,116.60, 311,450,978.10 and 202,060,148.60 is: 302,510,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032,116.60 : 311,450,978.10 = 202,060,148.60 : x
  2. Step 2: Convert to fraction form
    208,032,116.60/311,450,978.10 = 202,060,148.60/x
  3. Step 3: Cross multiply
    208,032,116.60x = 311,450,978.10 × 202,060,148.60
  4. Step 4: Simplify right side
    208,032,116.60x = 62,931,830,916,501,352
  5. Step 5: Solve for x
    x = 62,931,830,916,501,352/208,032,116.60
  6. Step 6: Final answer
    x = 302,510,169.80

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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.