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Finding the Fourth Proportional to 403,007.60, 604,948.80 and 314,652.80

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Solution

The fourth proportional to 403,007.60, 604,948.80 and 314,652.80 is: 472,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,007.60 : 604,948.80 = 314,652.80 : x
  2. Step 2: Convert to fraction form
    403,007.60/604,948.80 = 314,652.80/x
  3. Step 3: Cross multiply
    403,007.60x = 604,948.80 × 314,652.80
  4. Step 4: Simplify right side
    403,007.60x = 190,348,833,776.64
  5. Step 5: Solve for x
    x = 190,348,833,776.64/403,007.60
  6. Step 6: Final answer
    x = 472,320.71

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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.