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Finding the Fourth Proportional to 431,569,214.80, 646,609,804.80 and 201,065,538.40

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Solution

The fourth proportional to 431,569,214.80, 646,609,804.80 and 201,065,538.40 is: 301,251,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569,214.80 : 646,609,804.80 = 201,065,538.40 : x
  2. Step 2: Convert to fraction form
    431,569,214.80/646,609,804.80 = 201,065,538.40/x
  3. Step 3: Cross multiply
    431,569,214.80x = 646,609,804.80 × 201,065,538.40
  4. Step 4: Simplify right side
    431,569,214.80x = 130,010,948,536,830,896
  5. Step 5: Solve for x
    x = 130,010,948,536,830,896/431,569,214.80
  6. Step 6: Final answer
    x = 301,251,674.30

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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.