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Finding the Fourth Proportional to 402,939,740.80, 604,558,910.40 and 160,776,438.40

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Solution

The fourth proportional to 402,939,740.80, 604,558,910.40 and 160,776,438.40 is: 241,224,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,939,740.80 : 604,558,910.40 = 160,776,438.40 : x
  2. Step 2: Convert to fraction form
    402,939,740.80/604,558,910.40 = 160,776,438.40/x
  3. Step 3: Cross multiply
    402,939,740.80x = 604,558,910.40 × 160,776,438.40
  4. Step 4: Simplify right side
    402,939,740.80x = 97,198,828,417,096,720
  5. Step 5: Solve for x
    x = 97,198,828,417,096,720/402,939,740.80
  6. Step 6: Final answer
    x = 241,224,229.27

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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.