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Finding the Fourth Proportional to 430,860,156.30, 646,290,234.45 and 430,860,156.30

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Solution

The fourth proportional to 430,860,156.30, 646,290,234.45 and 430,860,156.30 is: 646,290,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,860,156.30 : 646,290,234.45 = 430,860,156.30 : x
  2. Step 2: Convert to fraction form
    430,860,156.30/646,290,234.45 = 430,860,156.30/x
  3. Step 3: Cross multiply
    430,860,156.30x = 646,290,234.45 × 430,860,156.30
  4. Step 4: Simplify right side
    430,860,156.30x = 278,460,711,430,290,688
  5. Step 5: Solve for x
    x = 278,460,711,430,290,688/430,860,156.30
  6. Step 6: Final answer
    x = 646,290,234.45

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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.