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Finding the Fourth Proportional to 278,290,401.60, 417,435,602.40 and 176,169,748.80

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Solution

The fourth proportional to 278,290,401.60, 417,435,602.40 and 176,169,748.80 is: 264,254,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,290,401.60 : 417,435,602.40 = 176,169,748.80 : x
  2. Step 2: Convert to fraction form
    278,290,401.60/417,435,602.40 = 176,169,748.80/x
  3. Step 3: Cross multiply
    278,290,401.60x = 417,435,602.40 × 176,169,748.80
  4. Step 4: Simplify right side
    278,290,401.60x = 73,539,525,214,984,672
  5. Step 5: Solve for x
    x = 73,539,525,214,984,672/278,290,401.60
  6. Step 6: Final answer
    x = 264,254,623.20

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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.