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Finding the Fourth Proportional to 30,532,978.40, 45,799,467.60 and 15,416,434.40

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Solution

The fourth proportional to 30,532,978.40, 45,799,467.60 and 15,416,434.40 is: 23,124,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532,978.40 : 45,799,467.60 = 15,416,434.40 : x
  2. Step 2: Convert to fraction form
    30,532,978.40/45,799,467.60 = 15,416,434.40/x
  3. Step 3: Cross multiply
    30,532,978.40x = 45,799,467.60 × 15,416,434.40
  4. Step 4: Simplify right side
    30,532,978.40x = 706,064,487,810,325.50
  5. Step 5: Solve for x
    x = 706,064,487,810,325.50/30,532,978.40
  6. Step 6: Final answer
    x = 23,124,651.60

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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.