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Finding the Fourth Proportional to 420,477.60, 630,716.40 and 242,893.20

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Solution

The fourth proportional to 420,477.60, 630,716.40 and 242,893.20 is: 364,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,477.60 : 630,716.40 = 242,893.20 : x
  2. Step 2: Convert to fraction form
    420,477.60/630,716.40 = 242,893.20/x
  3. Step 3: Cross multiply
    420,477.60x = 630,716.40 × 242,893.20
  4. Step 4: Simplify right side
    420,477.60x = 153,196,724,688.48
  5. Step 5: Solve for x
    x = 153,196,724,688.48/420,477.60
  6. Step 6: Final answer
    x = 364,339.80

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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.