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Finding the Fourth Proportional to 378,307.60, 567,461.40 and 310,656.40

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Solution

The fourth proportional to 378,307.60, 567,461.40 and 310,656.40 is: 465,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,307.60 : 567,461.40 = 310,656.40 : x
  2. Step 2: Convert to fraction form
    378,307.60/567,461.40 = 310,656.40/x
  3. Step 3: Cross multiply
    378,307.60x = 567,461.40 × 310,656.40
  4. Step 4: Simplify right side
    378,307.60x = 176,285,515,662.96
  5. Step 5: Solve for x
    x = 176,285,515,662.96/378,307.60
  6. Step 6: Final answer
    x = 465,984.60

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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.