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Finding the Fourth Proportional to 298,712,160, 448,068,240 and 71,777,376

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Solution

The fourth proportional to 298,712,160, 448,068,240 and 71,777,376 is: 107,666,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,712,160 : 448,068,240 = 71,777,376 : x
  2. Step 2: Convert to fraction form
    298,712,160/448,068,240 = 71,777,376/x
  3. Step 3: Cross multiply
    298,712,160x = 448,068,240 × 71,777,376
  4. Step 4: Simplify right side
    298,712,160x = 32,161,162,536,138,240
  5. Step 5: Solve for x
    x = 32,161,162,536,138,240/298,712,160
  6. Step 6: Final answer
    x = 107,666,064

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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.