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Finding the Fourth Proportional to 472,477.77, 709,048.76 and 427,305.29

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Solution

The fourth proportional to 472,477.77, 709,048.76 and 427,305.29 is: 641,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,477.77 : 709,048.76 = 427,305.29 : x
  2. Step 2: Convert to fraction form
    472,477.77/709,048.76 = 427,305.29/x
  3. Step 3: Cross multiply
    472,477.77x = 709,048.76 × 427,305.29
  4. Step 4: Simplify right side
    472,477.77x = 302,980,280,334.17
  5. Step 5: Solve for x
    x = 302,980,280,334.17/472,477.77
  6. Step 6: Final answer
    x = 641,258.28

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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.