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Finding the Fourth Proportional to 470,398.80, 705,079.80 and 260,187.60

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Solution

The fourth proportional to 470,398.80, 705,079.80 and 260,187.60 is: 389,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,398.80 : 705,079.80 = 260,187.60 : x
  2. Step 2: Convert to fraction form
    470,398.80/705,079.80 = 260,187.60/x
  3. Step 3: Cross multiply
    470,398.80x = 705,079.80 × 260,187.60
  4. Step 4: Simplify right side
    470,398.80x = 183,453,020,970.48
  5. Step 5: Solve for x
    x = 183,453,020,970.48/470,398.80
  6. Step 6: Final answer
    x = 389,994.66

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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.