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Finding the Fourth Proportional to 685,803,207, 946,434,440.27 and 384,394,089.63

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Solution

The fourth proportional to 685,803,207, 946,434,440.27 and 384,394,089.63 is: 530,478,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,803,207 : 946,434,440.27 = 384,394,089.63 : x
  2. Step 2: Convert to fraction form
    685,803,207/946,434,440.27 = 384,394,089.63/x
  3. Step 3: Cross multiply
    685,803,207x = 946,434,440.27 × 384,394,089.63
  4. Step 4: Simplify right side
    685,803,207x = 363,803,805,062,065,280
  5. Step 5: Solve for x
    x = 363,803,805,062,065,280/685,803,207
  6. Step 6: Final answer
    x = 530,478,424.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.