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Finding the Fourth Proportional to 340,123.60, 510,185.40 and 319,128.40

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Solution

The fourth proportional to 340,123.60, 510,185.40 and 319,128.40 is: 478,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,123.60 : 510,185.40 = 319,128.40 : x
  2. Step 2: Convert to fraction form
    340,123.60/510,185.40 = 319,128.40/x
  3. Step 3: Cross multiply
    340,123.60x = 510,185.40 × 319,128.40
  4. Step 4: Simplify right side
    340,123.60x = 162,814,650,405.36
  5. Step 5: Solve for x
    x = 162,814,650,405.36/340,123.60
  6. Step 6: Final answer
    x = 478,692.60

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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.