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Finding the Fourth Proportional to 423,360.64, 634,981.12 and 142,840.96

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Solution

The fourth proportional to 423,360.64, 634,981.12 and 142,840.96 is: 214,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,360.64 : 634,981.12 = 142,840.96 : x
  2. Step 2: Convert to fraction form
    423,360.64/634,981.12 = 142,840.96/x
  3. Step 3: Cross multiply
    423,360.64x = 634,981.12 × 142,840.96
  4. Step 4: Simplify right side
    423,360.64x = 90,701,312,762.68
  5. Step 5: Solve for x
    x = 90,701,312,762.68/423,360.64
  6. Step 6: Final answer
    x = 214,241.25

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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.