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Finding the Fourth Proportional to 318,911,457.60, 478,367,186.40 and 318,911,457.60

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Solution

The fourth proportional to 318,911,457.60, 478,367,186.40 and 318,911,457.60 is: 478,367,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,911,457.60 : 478,367,186.40 = 318,911,457.60 : x
  2. Step 2: Convert to fraction form
    318,911,457.60/478,367,186.40 = 318,911,457.60/x
  3. Step 3: Cross multiply
    318,911,457.60x = 478,367,186.40 × 318,911,457.60
  4. Step 4: Simplify right side
    318,911,457.60x = 152,556,776,682,834,912
  5. Step 5: Solve for x
    x = 152,556,776,682,834,912/318,911,457.60
  6. Step 6: Final answer
    x = 478,367,186.40

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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.