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Finding the Fourth Proportional to 699,172.16, 964,864.32 and 397,368.32

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Solution

The fourth proportional to 699,172.16, 964,864.32 and 397,368.32 is: 548,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,172.16 : 964,864.32 = 397,368.32 : x
  2. Step 2: Convert to fraction form
    699,172.16/964,864.32 = 397,368.32/x
  3. Step 3: Cross multiply
    699,172.16x = 964,864.32 × 397,368.32
  4. Step 4: Simplify right side
    699,172.16x = 383,406,513,866.34
  5. Step 5: Solve for x
    x = 383,406,513,866.34/699,172.16
  6. Step 6: Final answer
    x = 548,372.11

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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.