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Finding the Fourth Proportional to 472,303.20, 709,837.20 and 411,477.60

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Solution

The fourth proportional to 472,303.20, 709,837.20 and 411,477.60 is: 618,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,303.20 : 709,837.20 = 411,477.60 : x
  2. Step 2: Convert to fraction form
    472,303.20/709,837.20 = 411,477.60/x
  3. Step 3: Cross multiply
    472,303.20x = 709,837.20 × 411,477.60
  4. Step 4: Simplify right side
    472,303.20x = 292,082,107,446.72
  5. Step 5: Solve for x
    x = 292,082,107,446.72/472,303.20
  6. Step 6: Final answer
    x = 618,420.77

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1.5x scale

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.