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Finding the Fourth Proportional to 307,002.40, 460,503.60 and 277,477.90

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Solution

The fourth proportional to 307,002.40, 460,503.60 and 277,477.90 is: 416,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,002.40 : 460,503.60 = 277,477.90 : x
  2. Step 2: Convert to fraction form
    307,002.40/460,503.60 = 277,477.90/x
  3. Step 3: Cross multiply
    307,002.40x = 460,503.60 × 277,477.90
  4. Step 4: Simplify right side
    307,002.40x = 127,779,571,870.44
  5. Step 5: Solve for x
    x = 127,779,571,870.44/307,002.40
  6. Step 6: Final answer
    x = 416,216.85

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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.