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Finding the Fourth Proportional to 472,807.40, 639,534.16 and 472,807.40

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Solution

The fourth proportional to 472,807.40, 639,534.16 and 472,807.40 is: 639,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,807.40 : 639,534.16 = 472,807.40 : x
  2. Step 2: Convert to fraction form
    472,807.40/639,534.16 = 472,807.40/x
  3. Step 3: Cross multiply
    472,807.40x = 639,534.16 × 472,807.40
  4. Step 4: Simplify right side
    472,807.40x = 302,376,483,400.78
  5. Step 5: Solve for x
    x = 302,376,483,400.78/472,807.40
  6. Step 6: Final answer
    x = 639,534.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.