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Finding the Fourth Proportional to 472,878, 652,482.36 and 281,909.16

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Solution

The fourth proportional to 472,878, 652,482.36 and 281,909.16 is: 388,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,878 : 652,482.36 = 281,909.16 : x
  2. Step 2: Convert to fraction form
    472,878/652,482.36 = 281,909.16/x
  3. Step 3: Cross multiply
    472,878x = 652,482.36 × 281,909.16
  4. Step 4: Simplify right side
    472,878x = 183,940,754,022.42
  5. Step 5: Solve for x
    x = 183,940,754,022.42/472,878
  6. Step 6: Final answer
    x = 388,981.42

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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.